graph the parabola. y=(x-3)^2-1

Graph The Parabola. Y=(x-3)^2-1

Answers

Answer 1

Answer:

Step-by-step explanation:

y = (x-3)²-1

This is the equation for an up-opening parabola with vertex (3,-1).

Find the x-intercepts:

0 = (x-3)²-1

(x-3)² = 1

x-3 = ±1

x = 4, 2

The graph crosses the x-axis at (4,0) and (2,0).

Find the y-intercept:

y = (0-3)²-1 = 8

The graph crosses the y-axis at (0,8).

Plot your four points (3,-1), (4,0), (2,0), (0,8). Draw an up-opening parabola through the points.


Related Questions

How many tons are equal to 36,000 pounds? With work!

Answers

Answer:

18 tons

Step-by-step explanation:

1 pound = 0.0005 ton

Therefore,

36,000 pounds

= 36000*0.0005

= 18 tons

Which of the following is equvalent to (16^3/2)^1/2
A. 6
B. 8
C. 12
D. 64

Answers

B. 8 is the answer.

Simplify to 2^4^(3/4) then 2^3 then that simplies to 8

Step-by-step explanation:

b 8 is the answer

simplify to2^4^(3/4) then 2^3 then that simplies to 8

Find the slope for the line that runs through points (2, 5) and (-3, 7)

Answers

I got this as my answer.

Answer:

-0.4

Step-by-step explanation:

to solve use the formula m=y2-y1/x2-x1

Sarah’s parents purchased a refrigerator for $320. If sales tax is 7% of the cost, how much tax did Sarah’s parents pay for the refrigerator

Answers

Answer:

22.4

Step-by-step explanation:

7% of the cost is 22.4

Answer:

$22.40

Step-by-step explanation:

Let's convert the 7% sales tax into a decimal, which should be 0.07Multiply the sales tax (as a decimal) by the cost of the refrigerator ($320). You should get $22.40

Edit: Read something wrong, I fixed it, sorry.

What is (-3)^-9 times (-3)^5

Answers

Answer:

1/80 or 0.01234568

Step-by-step explanation:

Exponentiation: (-3) ^ (-9) = -5.08052634253E-5 = -1/

19683

Exponentiation: (-3) ^ 5 = -243

= -1/

19683

* (-243) = -1 · (-243)/

19683 · 1

= 243/

19683

= 1 · 243/

81 · 243

= 1/

81

simplify -8-(12)+(-2)

Answers

-8-12+(-2)

=-8-12-2

=-20-2

=-22

25 POINTS!!!!! HELP NEEDED


(05.01 MC)
The graph shows the prices of different numbers of bushels of corn at a store in the
current year. The table shows the prices of different numbers of bushels of corn at
the same store in the previous year.
Current Year
98
70
Price of
Com
56
(dollars) 42
28
14
0 2 4 6 8 10 12 14
Number of Bushels
Previous Year
Number of Bushels Price of Corn (dollars)
2
10
4.
20
6
30
8
40

Answers

PART A:

To find the rate of change, put change in y over change in x. In order to first find the changes, you must subtract two y values from each other and two x values from each other, like this:

Change in y = 20-10

Change in x = 4-2

Then you can put these over each other:

20-10/4-2

Then simplify

20-10/4-2 = 10/2 = 5/1 = 5

So, this means the rate of change is 5. $5 per bushel.

If you also need part B it would be helpful to see the other chart because it's hard to understand in the writing you included. :) Comment and let me know if you post it so I can help you out!

Part A: 7 dollars  

- The graph shows that 2 bushels is 14 dollars,  because the graph has a straight line, the rate remains constant you must divide the sides by two to find the amount for one bushel which would be 7 dollars.

- And to double check you would divide 28 by 4, 42 by 6, 56 by 8, 70 by 10, 84 by 11, and 98 by 12. they all equals 7 dollars So, the equation would be y = 7x.

- 7 can be known as the slope and  rate of change.

Part B:2 dollars

- The years before show 2 bushes was 10 dollars

-so you would divide 10 by two you would get five  To double check you would do the same thing with 20 by 4, 30 by 6 and 40 by 8, and they all equal 5 dollars.

-if you use this answer be sure to reword it so you dont get copy write and integrity. have a great day or night.

Marlye asked students in her school whether they prefer scary movies or comedies she found out that 35 students liked scared movies and 65 likes comidies what percent prefier scary movies

Answers

Answer:Percentage of students who prefer scary movies =35%

Step-by-step explanation:

Number of students who prefer scary movies= 35

Number  of students who love comedies= 65

Total number of students = 65 +35= 100

Percentage of students who prefer scary movies = Number students who prefer scary movies/ total number of students x 100

35/ 100 x 100

0.35 x 100= 35%

I need help with this​

Answers

Answer:

3.5

Step-by-step explanation:

the median is the dotted lines.

median of girls height: 65.5

median of boys height: 69

69-65.5=3.5

Help PLEASE I forgot how to do this :'(​

Answers

Answer:

C) The sum of the first 2 terms after the fourth term.

Solve the system of equations.
−10y+9x=−9
10y+5x=−5

Answers

-10y+9x=-9
solve for y=9/10+9x/10
solve for x=-1+10y/9

10y+5x=-5
solve for y=-1/2-x/2
solve for x=-1-2y

Help! What is the slope of the line represented by the equation y = 4/5 x - 3?
A) -3
B) -4/5
C) 4/5
D) 3

Answers

C) 4/5
Hope this helped!
4/5 because in y=mx+b format, the “m” represents slope, or the number in front of the x

!!!!!!Plss Help Me!!!!!!!

Answers

Write the problem as an equation:

5n <65

Solve for n by dividing both sides by 5:

n <13

Because the inequality does not contain an equal sign, n (13) is not included in the answer so there would be an open circle on the number 13

The correct answer would be A.

help me

for question 6, write the equation in standard form ax by=c (show your work). from: y=m b to Ax By=c

Answers

Since you have the slope m = -3 and the point (-9, -2) you can use the Slope Intercept Form to find b

y = mx + b

-2 = -3(-9) + b

-2 = 27 + b

Subtract 27 from both sides of the equation to get b

-2 - 27 = b

-29 =b

And the Slope Intercept Form

y = -3x -29

Now you can rearrange the Slope Intercept Form to give the Standard Form by adding 3x to both sides of the equation.

y + 3x = -29

I hope you find this useful and if you have any questions please send me a message.

how to factorise
25x²- 64y²​

Answers

Answer:

(5x + 8y)(5x - 8y)

Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of squares formula, a^2 - b^2 = (a + b)(a - b) where a = 5x and b = 8y.

~Hoped this helped~

25x²- 64y²

= (5x)² - (8y)²

= (5x-8y)(5x+8y)

Hope this helps!

PLEASE IF U KNOW ANSWER HELP ME I NEED IT IN NEXT 10 MINUTES

Answers

Answer:

x + 2y - 3 = 0

Step-by-step explanation:

Coordinates of the points P and Q are (-3, 0) and (0, 6) respectively.

Slope of PQ = (0- 6)/(-3 - 0) = - 6/-3 = 2

Slope of line perpendicular to PQ = - 1/2

Since, required line passes through point R(7, - 2) and is perpendicular to PQ.

Therefore, equation of line in point slope form is given as:

[tex]y - (-2) = - \frac{1}{2} (x - 7) \\ \\ y + 2 = - \frac{1}{2} (x - 7) \\ \\2(y + 2) = - (x - 7) \\ \\ 2y + 4 = - x + 7 \\ \\ 2y + 4 + x - 7 = 0 \\ \\ x + 2y - 3 = 0[/tex]

Therefore x + 2y - 3 = 0 is the required equation of line.

Answer:

Answer:

x + 2y - 3 = 0

Step-by-step explanation:

Coordinates of the points P and Q are (-3, 0) and (0, 6) respectively.

Slope of PQ = (0- 6)/(-3 - 0) = - 6/-3 = 2

Slope of line perpendicular to PQ = - 1/2

Since, required line passes through point R(7, - 2) and is perpendicular to PQ.

Therefore, equation of line in point slope form is given as:

\begin{gathered}y - (-2) = - \frac{1}{2} (x - 7) \\ \\ y + 2 = - \frac{1}{2} (x - 7) \\ \\2(y + 2) = - (x - 7) \\ \\ 2y + 4 = - x + 7 \\ \\ 2y + 4 + x - 7 = 0 \\ \\ x + 2y - 3 = 0\end{gathered}

y−(−2)=−

2

1

(x−7)

y+2=−

2

1

(x−7)

2(y+2)=−(x−7)

2y+4=−x+7

2y+4+x−7=0

x+2y−3=0

Therefore x + 2y - 3 = 0 is the required equation of line.

hope it helps you

Write an equivalent expression by factoring for 6a + 15

Answers

Answer: Factor 6a + 15
= 3 (2a + 5)

Can yall help its due in 30 minutes

Answers

Answer:

$462.50

Step-by-step explanation:

:))

Find the area of the regular octagon.

Answers

Answer:

3*4

=12 sq. cm

= 12 cm²

Answer:

48cm^{2}

Step-by-step explanation:

[tex]A=4ah=4*4*3=48 cm^{2}[/tex]

What is the main idea of this text
Atkins agreed to testify against Manson in exchange for avoiding the death penalty. Her grand jury testimony led to Manson being arraigned for the murders on Dec. 11, 1969. Atkins later recanted her testimony, and her deal was revoked by the prosecutors [source: Steffens and Staples]. Linda Kasabian, who hadn't entered any of the houses or committed any murders, was granted immunity and testified for the prosecution during the trial.​

Answers

Answer:

the answer is Atkins agreeing to testify against Manson in exchange for avoiding the death penalty

What are the solutions to the equation (x−32)2=56?

x=±2√22
x=32±2√ 14
x=4√5±2√14
x=±2√6

Answers

Answer:

         [tex]\bold{ x=32\pm2\sqrt{14}}[/tex]

Step-by-step explanation:

                                             [tex](x-32)^2=56\\\\x-32=\pm\sqrt{56}\\\\x=32\pm\sqrt{4\cdot14}\\\\ x=32\pm2\sqrt{14}[/tex]

Use the information to answer the question.
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest meter, how many meters are in 275 inches? Enter the answer in the box.
meters
0

Answers

Answer:

7 m

Step-by-step explanation:

We are told that;

100 cm = 1 m

Thus; 2.54 cm = 2.54 × 1/100 = 0.0254 m

This means that;

1 inch = 0.0254 m

Thus; 275 inches will give; 275 × 0.0254/1 = 6.985 m

Approximating to the nearest metre gives 7 m

simplify - 5 1/4 - (- 7 1/2)

Answers

Answer:

Hey! Your answer is, 9/4

Step-by-step explanation:

Hope this hepls! :)

Have a nice day!♥

Brainliest?

Answer:

Exact Form:

91/20

Decimal Form:

4.55

Mixed Number Form:

4 11/20

Step-by-step explanation:

Some one answer this thanks

Answers

Answer:

1,2,5 equal 32

Step-by-step explanation:

Answer:

(2³×4)+(11-11)5

4²×2

2^5

Step-by-step explanation:

(2³÷4)+(11-11)5

=(8×4)+0

=32

4²×2

=16×2

=32

2^5

=2×2×2×2×2

=4×4×2

=16×2

=32

Help me simplify this dividing Radicals!!!

Also I didn’t mean to click the last one

Answers

Answer:

ok muchas gracias por tus puntos

Answer:THE SECOUND ONE

Step-by-step explanation:

PLZ IT RIGHTS

solve for x and find x ​

Answers

Answer:

x = 24

Step-by-step explanation:

Because this shape is a parallelogram, the line segment measuring 6x must be equal to the line segment on the other side of E, which measures 144 units. 144 ÷ 6 = 24

42 out of 100
how do u do this question? ​

Answers

100-42 or 100/42????.?.???.?

You are walking in the woods when you spot a bald eagle high up in a tree. You measure the angle of elevation to the eagle to be 67 degrees. You then walk directly to the tree and determine that you were standing 150 ft from the tree when you saw the bald eagle. How high up in the tree was the bald eagle?

Answers

Answer:

Step-by-step explanation:

infinite

The height of up in the tree was the bald eagle is, 352.5 feet

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

You measure the angle of elevation to the eagle to be 67 degrees.

And, The angle of elevation to the eagle to be 67 degrees.

Now, Let the height of up in the tree was the bald eagle is, x

Hence, We can formulate;

⇒ tan 67° = x / 150

⇒ 2.35 = x / 150

⇒ x = 2.35 × 150

⇒ x = 352.5 feet

Thus, The height of up in the tree was the bald eagle is, 352.5 feet

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ3

If the cos 90° = 0, then the sin 0° = _____.


pls help

Answers

Answer:

I think its 0

Step-by-step explanation:

Answer:

This one too clicked by me

Give me the slope for the following points (9, 10)
and (7,2)

Answers

The answer is

m = 4

Have a great day!!!

Answer:

4 is the slope

Step-by-step explanation:

We know this by using the slop formula, which is y2-y1/x2-x1

We just plug in the points that we know and solve from there,

Give brainliest please :3

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