which steps transform the graph of y=x^2 to y=-(x-3)^2+2

Answers

Answer 1

Answer:

reflection over the x-axis

shifted 3 right

shifted 2 up

Step-by-step explanation:

This function is quadratic. Quadratic graphs are written as y=a(x-h)^2+k. Where a is a non-zero number that affects the vertical appearance of the graph, h is the horizontal placement, and k is the vertical placement.

When a is negative then, the graph has been reflected over the x-axis. This makes it look like it has been turned upside down. The variable h affects how the x-values are shifted. In this equation, h looks negative but it is actually positive because if you look at the formula, h is being subtracted. Positive h values move the graph right. So, the graph is shifted 3 units to the right. Finally, k does the same thing as h but on the vertical (y) axis. So, +2 makes the graph shift 2 units up.


Related Questions

The sporting goods store with 30% off all items . If a skateboard is normally $70 , what would be the approximate sale price of the skateboard

Answers

Answer:

$49

Step-by-step explanation:

70 x 30%

70 x 0.3

21

70 - 21

49

Please answer circle theorem question.
Many thx.

Answers

Answer:

x = 125

Step-by-step explanation:

Tangents from an external point to a circle are congruent , that is

CA = CB

Then Δ ABC is isosceles with base angles being congruent

∠ BAC = ∠ ABC = [tex]\frac{180-70}{2}[/tex] = [tex]\frac{110}{2}[/tex] = 55°

∠ ABC and x are adjacent angles on a straight line and sum to 180° , so

x = 180° - 55° = 125°

Then x = 125

Which option is an example of a survey?
A. Asking students in a school how much time they spend exercising
B. Flipping a coin 50 times and counting the number of heads
C. Measuring the heights of the players on the basketball team
D. Testing the effectiveness of a new reading program by allowing a
classroom to use it and comparing the results with another
classroom that doesn't use it

Answers

Answer:

I think the answer is A

Step-by-step explanation:

The example of a survey are; A. Testing the effectiveness of a new reading program by allowing a classroom to use it and comparing the results with another classroom that doesn't use it

What is an survey?

An survey is a technique used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that has never been tried before.

Since Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.

The survey asks participants to quantify their trust in politicians while a numerical scale, with 1 being the least amount of trust.

Example of a survey;

Testing the effectiveness of a new reading program by allowing a classroom to use it and comparing the results with another classroom that doesn't use it

To learn more about experiments refer to:

brainly.com/question/25303029

#SPJ2

Katrina is solving the equation x minus 2 (x 3) = 4 (2 x 3) minus (x 4). Which equivalent equations might Katrina use? Check all that apply. X minus 2 x minus 6 = 8 x 12 minus x minus 4 x minus 2 x 6 = 8 x 12 minus x 4 x minus 2 x minus 6 = 8 x 12 minus x 4 x minus 2 x 3 = 8 x 3 minus x 4 Negative x minus 6 = 7 x 8 Negative x 6 = 7 x 16 Negative x minus 6 = 7 x 16 Negative x 3 = 7 x 7.

Answers

The value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x  - 4

Given the equation solved by Katrina expressed as;

x - 2 (x + 3) = 4 (2 x + 3) - (x + 4).

Expand using distributive law;

x - 2x - 6 = 4(2x) + 4(3) - x - 4

x - 2x - 6 = 8x + 12 - x  - 4

-x - 6 = 7x + 8

-x - 7x = 8 + 6

-8x = 14

x = 14/-8

x = -7/4

Hence the value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x  - 4

Learn more on expressions here: https://brainly.com/question/24734894

The value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x  - 4

Given the equation solved by Katrina expressed as;

x - 2 (x + 3) = 4 (2 x + 3) - (x + 4).

Expand using distributive law;

x - 2x - 6 = 4(2x) + 4(3) - x - 4

x - 2x - 6 = 8x + 12 - x  - 4

-x - 6 = 7x + 8

-x - 7x = 8 + 6

-8x = 14

x = 14/-8

x = -7/4

Hence the value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x  - 4

Learn more on expressions here: brainly.com/question/24734894

Just gonna attach a picture of the problem so it’s easier

Answers

Answer:

Step-by-step explanation:

Part A

The first thing you have to do is develop a formula for the line.

It goes through (-2,3)

It has a y intercept of (0,-1)

So far what you know is

y = mx - 1

x = - 2

y = 3

3 = m(-2) - 1                  Add 1 to both sides

3 + 1 = (-2)*m

4 = - 2*m                      Divide by - 2

4/-2 = m

m = - 2

The equation of the line is y = -2x - 1

Instead of y, we can use f(x)

f(x) = -2x - 1

Finally we can solve this part of the question.

f(1) = - 2(1) - 1

f(1) = -2 - 1

f(1) = - 3

Part B

f(x) = 5

y = 5

5 = -2x - 1           Add 1 to both sides

5+1 = - 2x           Divide by - 2

6 / -2 = -2x/-2

-3 = x

F(x)=80-15x. When x is 2.5, what is the function's value?

Answers

So now we have x we substitute

F(2.5) = 80 - 15(2.5)

Simplify

= 80 - 37.5

= 42.5

Hope this helps!
Brainliest is much appreciated!

Question 28
What is the speed in m/s of a car that travels 30km in 20 minutes?
A: 1500 m/s B: 150 m/s
C: 90 m/s
D: 540 m/s
E: None of these

Answers

Answer:

E none of these

Step-by-step explanation:

first convert the 30 km into m

it will be 30000m

speed = distance /time taken

convert the time into seconds too it will be 1200

so 30000/1200 = 25m/s

none of the above

algebra 1
F(x) passes through 0, -1 and 5 , 14
G(x) passes through -6 , -1 and -1, 14

Describe two types of transformations that can be used to transform f(x) to g(x)

Solve for k in each type of transformation.

Write an equation for each type of transformation that can be used to transform f(x) to g(x).

Answers

f(x)=0,-1,5,14
g(x)= -6, -1, -1, 14
g(x)=f(x)+k
-6= 0+k
K=-6
A)
B) g(x)=f(x)+k
-1=-1+ k
k=-1+1=0
> 5.0
q(x)=f(x)+k
-1=5+k
k=-1-5=-6
g×=f×+k
14= 14+k
k= 0
K=-6,0,-6,0

Define the domain:  {(2,3),(0,3),(4,2),(5,6)}

A. 2, 0, 4, 5

B. 0

C. 6

D. 3, 2, 6

Answers

For the following relation the domain would be all of the x coordinates.
D=A. 2,0,4,5

Which graph represents the function?

Answers

Answer:

First one ( top left)

This has an open circle at y = 3 which means the 3 is not included.

Then the y value of the second line equals the x value.

I believe it’s the top left one.

The two on the right are not correct because they use a closed dot for a strict inequality (the one without the line under it has the empty dot)

The bottom left one can’t be correct in my eyes because the second equation says that y (f(x)) equals x if x is greater than or equal to one. But the range of the numbers don’t go beyond (0,1).

The top left is inclusive of numbers that are greater than 1.

Let me know how it goes I am not the best at math

Find the total surface area of this triangular prism
25 cm
24 cm
10 cm
14 cm

Answers

Answer:

Area = (Length * (a + a * (sin(Angle γ) / sin(Angle γ + Angle β)) + a * (sin(Angle β) / sin(Angle γ+Angle β)))) + a * ((a * sin(Angle γ)) / sin(Angle γ + Angle β)) * sin(Angle β)

A plot of land doubles in size by adding x meters to the length and x meters to the width of the land?if the original plot had an area of 200 by 300 meters ,what is the value x?

Answers

Answer:

  x = 100

Step-by-step explanation:

The larger area is ...

  A = LW

  A = (300+x)(200+x) = x^2 +500x +60,000

The smaller area is ...

  A = (200)(300) = 60,000

We want the larger area to be double the smaller area, so ...

  x^2 +500x +60,000 = 2(60,000)

  x^2 +500x = 60,000 . . . . . . . . . . . . subtract 60,000

  x^2 +500x + 62500 = 122500 . . . add 250^2 to complete the square

  (x +250)^2 = 350^2

We're interested in the positive solution, so we can take the positive square root to find it:

  x +250 = 350

  x = 100 . . . . . . . . . subtract 250

_____

The graph shows the quadratic in the form x^2 +500x -60,000. That is, we're looking for zeros (x-intercepts) of the function.

pleaseee help lol also show work if you can please ​

Answers

Answer:

Answer is x = 31.5

Step-by-step explanation:

Explanation is in the picture. Pls give brainliest. :D

can someone help? No explanation needed :')

Answers

36/100

Please mark me as brainliest

need help asap plz help

Answers

Number three is D and number 4 is also D.

Explanation for number three:

When you divide 12 by 3, you get 4. This gives us the number we need to multiply 10 by to get our answer. 10 x 4 = 40

Explanation for number 4:

In the last question, the first step to getting to the answer was to divide the first two numbers. This is no different. When you divide 32.5 by 5, you get 6.5. Then you multiply 10 and 6.5, which equals 65.

Which sequence shows the numbers in order from least to
greatest?
1
2
-3
4
3
-3
OA) 2 3
} }
OB) Ź. *.
oc) * * Ź
OD) * *
4

Answers

Answer:

-3 1 2 3 4

Step-by-step explanation:

Answer:

-3 1 2 3 4

Step-by-step explanation:

Given that f(x)=x-5 g(x)=5x and h(x)=-f(x+1)-3g(x-1), then what is the value of h(3)?

please show step by step answer.

Answers

Answer:

Step-by-step explanation:

f(x) = x - 5 and g(x) = 5x

- f(x + 1) = - ( x + 1 - 5 ) = 4 - x

- 3g(x - 1 ) = - 3 [ 5 (x - 1)] = 15 - 15x

h(x) = 4 - x + 15 - 15x = 19 - 16x

h(3) = 19 - 16(3) = - 29

The first four terms of a sequence are shown below: 9, 5, 1, â’3 Which of the following functions best defines this sequence? f(1) = 9, f(n 1) = f(n) â’ 4; for n ≥ 1 f(1) = 9, f(n 1) = f(n) 4; for n ≥ 1 f(1) = 9, f(n 1) = f(n) â’ 5; for n ≥ 1 f(1) = 9, f(n 1) = f(n) 5; for n ≥ 1.

Answers

The function that best defines this arithmetic sequence is:

[tex]f(n) = f(n - 1) - 4, f(1) = 9[/tex]

What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The recursive function that defines the sequence is:

[tex]f(n) = f(n - 1) + d[/tex]

[tex]f(1) = f_0[/tex]

In which [tex]f_0[/tex] is the first term.

In this problem, the sequence is: {9, 5, 1, -3}

Each term is the previous term subtracted by 4, hence [tex]d = -4[/tex].The first term is 9, hence [tex]f_0 = 9[/tex].

Hence, the function is:

[tex]f(n) = f(n - 1) - 4, f(1) = 9[/tex]

You can learn more about arithmetic sequences at https://brainly.com/question/6561461

To identify the functions which best define the given sequence, we have to identify the number pattern.

The correct option is (a).

Given:

The given sequence is as follows,

[tex]9,5,1,-3[/tex]

What is an arithmetic sequence?

The arithmetic sequence define as the difference between two consecutive number would be same.

If we subtract 4 form each digit we will get next digit.

[tex]9-4=5\\5-4=1\\1-4=-3[/tex]

So the function would be,

[tex]f(1) = 9, f(n + 1) = f(n) -4; \rm for \:n\geq 1[/tex]

The option (b) and (d) show the increasing function whereas we have decreasing sequence.

Thus, the correct option is (a).

Learn more about arithmetic sequence here

:https://brainly.com/question/12637273

Please don’t answer just for points! Help is really needed~

Answers

i dont understand

what do we need to do?

1 is 65
2 is 65
3 is 148
4 is 32

I am not sure at all.

What is this expression translated into words?

2n + 1

a
one plus 2 divided by a number n
b
2 times 1 added to a number n
c
two times a number n added to one

Answers

Answer:

C. two times a number n added to one

in the united states 16 out of every 20 cans are recycled what percent of cans are recycled

Answers

Answer:

80%

Step-by-step explanation:

First, you multiply 20 by 5, which gives you 100. Then multiply 16 by 5, which is 80. 80 out of 100 is 80%

Answer:80%

Step-by-step explanation:16/20=0.8 Knowing this the answer will be 80% of cans are recycled in this equation

Exterior Angles and Isosceles Triangles

Answers

Step-by-step explanation:

this is not an isoceles triangle.

anyway, we need to remember 2 things :

1. the sum of all angles in a triangle is always 180°.

2. the sum of all angles around a single point on a line is 360° (as this point wound be the center of an invisible circle). and as the line cuts this circle in half, the angles on one side of the line around this point is therefore 180°.

so, the internal angle Q is then

180 = 50 + 55 + Q

Q = 180 - 50 - 55 = 180 - 105 = 75°

the exterior angle x at Q is then

180 = Q + x = 75 + x

x = 180 - 75 = 105°

Exterior angles =180-75=105
Interior angles =180_69=111

Question in picture

Answers

Answer:(-8,6) (-5,8

Step-by-step explanation:

a toy rocket is launched from the top of a 48 foot hill. the rockets initial upward velocity is 32 feet per second and its height (h) at any given second (t) is modeled by the equation : h= -16t^2 + 32t +48.
Find the highest point the rocket reaches. show your work

Answers

Answer:

Maximum height is 64 feet

Step-by-step explanation:

For all: h= -16t²+ 32t + 48

1) AOS -> a = -16; b = 32; c = 48

x = -b/2a -> x= -32/(2×-16) = -32/-32 = 32/32 = 1/1 = 1

2) Plug in AOS

h = -16(1)² + 32(1) + 48

h= -16 + 32 + 48

h= 16 + 48

h= 64

Max height is 64

Can someone help me please?

Answers

Answer:   a=(3,-4)

                B=(3,-1)

                C=(5,-2)

Step-by-step explanation:

help me with this pls

Answers

Answer:

Johnathan started out with 17 videogames

25-8=17

if the restaurant donated $690 to the soup kitchen what we’re the total sales for the day

Answers

Answer:

Total sales = x + $690

Step-by-step explanation:

x = amount of sales in a day

Donated amount  =  $690

Total sales = amount of sales in a day  + Donated amount

Total sales = x + $690

how many possible number of facemask and face shield can an online seller could sell to get an amount of the least php2 000 based on the data above​

Answers

7,000 if he sell them right

-5x-/(3x-7)+4(3x-5)-(6x-9)

Answers

Answer:

-5x / 9x - 18

Step-by-step explanation:

= - 5x- / ( 3x - 7 ) + 4 ( 3x - 5 ) - ( 6x - 9 )

= applying rule : ( a ) = a

then, ( 3x - 7 ) = 3x - 7

= - 5x- / 3x - 7 + 4 ( 3x - 5 ) - ( 6x - 9 )

= applying the fraction rule : -a/b = a/b

= 5x / 3x - 7 + 4 ( 3x - 5 ) - ( 6x - 9 )

= -5x / 9x - 8. Answer!

The following are the ages of 13 mathematics teachers in a school district.
29, 30, 32, 38, 39, 43, 43, 44, 45, 46, 46, 57, 60
Notice that the ages are ordered from least to greatest.
Give the five-number summary and the interquartile range for the data set.
Five-number summary
Minimum:
a
Lower quartile:
Median:
0
Upper quartile:
Maximum:
Interquartile range:

Answers

Answer:

Minimum: 29

Lower Quartile: 35

Median: 43

Upper Quartile: 46

Maximum: 60

Interquartile Range: 11

Step-by-step explanation:

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Mario sells men's and women's shoes in his shoe store. He is considering selling children'sshoes. He randomly selected 120 customers to participate in a survey. The survey results areshown below. 42 customers said they would shop for children's shoes 78 customers said they would not shop for children's shoesMario has an average of 440 customers per month. Based on the survey results, whichvalue is the best estimate of the number of customers that would shop for children's shoesduring an average month?120B154C220D286 Economically, World War One was very good business for the United States,O TrueO False Ready lesson 8 independent practice 2. The two naturally occurring isotopes of hydrogen are hydrogen-1 ( 1.00783 amu; 99.9885 percent) and hydrogen-2 (2.01410 amu; 0.0115 percent). What is the average atomic mass of hydrogen?A. 1.0079 amub. 1.0097 amuc. 1.0309 amuD. 1.5110 amu Make a Flow Chart From this C Programming Language Code Name and describe one way the Crusades affected the Jewish population. 50 points + brainilest!! Which THREE sets of angles can be used to construct triangles? A) 50, 65, 65 B) 45, 50, 85 C) 20, 60, 100 D) 30, 60, 70 E) 20, 45, 120 Which statement is the most likely conclusion you can draw from the cause and effect relationship shown in the diagram? Jon is solving this division problem: 7,846 : 3. In what place should he start dividing?thousandshundredsonestensanswer is ones ??????help please thanks give three influences of technology in the 21st century im not sure which one it is ): Fill in the blanks with the present tense form of the reflective verbs in parenthesis.1.Yo (afeitarse)____las maanas,2. T no (despertarse)____a tiempo3. Eduardo (alvidarse)___de hacer las compras.4. Nosotros (dusharse)___con agua caliente.5. Los estudiantes (dormirse)___durante la clase.6. Yo no (enamorarse)___fcilmente.7. T (vestirse)____rpidamente antes de salir.8. Ricardo (sentarse)____antes de tomar caf.9.Mi esposa y yo (enfermarse)___en el invierno.10. Raquel y Brbara (encontrarse)_____en la biblioteca. 3x-17=x+3 in form ax+b=c In science class, the girl to boy ratio is 3 to 7.If there are 50 students total in the class, how many are boys? what happens when an air mass moves over a new region Answer this QUICK!!! 60 POINTS!!!! (4)+(6)+(3)+(1)+0+2+(1)+(3)8 Find a pair of positive integers for and b in these questions18 + 65 = 186523 + 7 = 2314 Determine the intercepts of the line.