The quadratic function f(x) has a vertex at (5,-5) and opens downward.

If g(x) = (x + 5)2 + 5, which statement is true?


A. The axis of symmetry of f(x) is x = 5, and the axis of symmetry of g(x) is x = -5.

B. The axis of symmetry of f(x) is x = -5, and the axis of symmetry of g(x) is x = -5.

C. The axis of symmetry of f(x) is x = 5, and the axis of symmetry of g(x) is x = 5.

D. The axis of symmetry of f(x) is x = -5, and the axis of symmetry of g(x) is x = 5.

The Quadratic Function F(x) Has A Vertex At (5,-5) And Opens Downward.If G(x) = (x + 5)2 + 5, Which Statement

Answers

Answer 1

Answer:

The correct answer is A.

Step-by-step explanation:

We're told that f(x) has its vertex at 5, -5 and opens downward.  This tells us that it's axis of symmetry is x = 5.

The format of the function g(x) shows us that its axis of symmetry is x = -5.  We're shown this because of the (x + 5)² component.

So the correct answer is A.

Answer 2

Using the properties of the quadratic function we can review the different answers, the correct one is

D. The axis of symmetry of f(x) is x = -5,

the axis of symmetry of g(x) is g(x) = 5.

The quadratic function is a quadratic polynomial that has a parabolic form and a general equation

        g (x) = a x² + bx + c

where a, b, c are the coefficients, x is the independent variable and g the dependent

If the function has real roots it can be written in vertex form

       g (x) = a (x-h) ² + k

where (h, k) are the coordinates of the vertex

The quadratic function has several properties:

The graph of this function opens up if the coefficient "a" is positive and down if it is negative, The axis of symmetry is parallel to the y axis, passing through the vertex of the function The vertex of the parabola corresponds to the maximum or minimum of the curve

The function can be written as a vertex value that cancels the binomial is where the symmetry axis passes

in this case, for the parabola to open downwards, the curve must be:

               g (x) = - (x + 5) ² + 5

this is the expression in vertex form, let's find the value that cancels the binomial,

              x + 5 = 0

              x = -5

at this point where the axis of symmetry passes

The value of the function for this point is

              x = -5

         g (x0 = - (-5 + 5) ² + 5

          g (x) = 5

Using the properties of the quadratic function we can review the different answers, the correct one is

D. The axis of symmetry of f(x) is x = -5, and the axis of symmetry of g(x) is

g(x) = 5

Learn more about quadratic function here:

https://brainly.com/question/21214550


Related Questions

please help! Giving points!

Answers

Answer:

Bee

Step-by-step explanation:

Ya like jazz?

The sum of 6.7 and a number is negative. What is a possible value for that number? Explain.​

Answers

Answer:

The number must be greater than 6.7. Thus, the sum will be negative.

For example, the number could be 7.

6.7 - 7 = -0.3

The number can be in the range -  x ∈ (- ∞ , - 6.7)

We have - the sum of 6.7 and a number is negative.

We have to determine the possible value of that number.

For what range of values of x, the given function is equals to a negative value -y = f(x) = 2x + 10

For f(x) to be negative -

f(x) < 0

2x + 10 < 0

2x < - 10

x < - 5

x ∈ (- ∞ , - 5)

According to the question, we have - the sum of 6.7 and a number is negative.

Now -

6.7 + x < 0

x < 6.7

x ∈ (- ∞ , - 6.7)

Hence, the number can be in the range -  x ∈ (- ∞ , - 6.7).

To solve more questions on Numbers and range, visit the link below -

https://brainly.com/question/18061928

#SPJ2

how would the numbers 6870000 appear in scientific notation on a calculator screen ​

Answers

Answer: D

Step-by-step explanation:

Round 543,539 to the nearest hundred thousand

Answers

Answer:

500,000

Step-by-step explanation:

The nearest hundred thousand is the first 5

In rounding when something is 4 or lower it becomes a zero and if it is 5 or higher it is goes up to the next number for example if it is rounded to the nearest ten, and the number is 338, it would be 340

What is the coefficient of 3y+7?

Answers

Answer:

3

Step-by-step explanation:

it's 3 because the number is infront of a variable

55 videos to 77 videos

Answers

Answer:

The ratio is 55:77

Step-by-step explanation:

Billy charges $15 to mow yard.He needs at least $200 for the new bycicle that he wants.

Answers

Answer:

billy has to mow at least 14 yards

Step-by-step explanation:

200 divided by 15 = about 14


Simplify the expression by combining like terms: -3+7c+c+7+10

Answers

Answer:

21 + 2c

Step-by-step explanation:

-3 + 7 + 7 + 10 = 21

c + c = 2c

Evaluate each expression

P + 8 when P = 6
show ya work

Answers

Answer:umm so with my super jimmy neutron powers the answer is 14 because since P = 6 the equation turns into 6 + 8=14

what is 9/32 + 7/8 plz help

Answers

Answer:

1 5/32

Step-by-step explanation:

First, find common denominators. What you do to the denominator, you must do to the numerator.

First, multiply 4 to both the numerator and denominator of the second fraction:

(7/8)(4/4) = (7 * 4)/(8 * 4) = 28/32

Next, add across:

9/32 + 28/32 = 37/32

Simplify. Turn the improper fraction into a mixed fraction:

37/32 = (32 + 5)/32 = 1 5/32

1 5/32 is your answer.

~

Answer:

37 /32

Step-by-step explanation:

Find the least common denominator or LCM of the two denominators:

LCM of 8 and 32 is 32

For the 1st fraction, since 8 × 4 = 32,

7 /8  =  7 × 4

       8 × 4 =  28 /32

Likewise, for the 2nd fraction, since 32 × 1 = 32,

9 /32  =  9 × 1

          32 × 1 =  9 /32

Add the two fractions:

28 /32 +  9/32 =  28 + 9 /32  =  37 /32

So, 7/8 + 9/32 = 37/32

In mixed form: 1 5 /32

Please mark as brainliest!

If x = 8, what is the value of 4x + 6?
I NEED HELP! I’m on a test!!

Answers

Answer:

=38

Step-by-step explanation:

Use substitution :3

4(8)+6=38

substitute x to 8 then calculate!

There you'll get your answer.

the required value of expression 4x + 6 is 38 when x = 8.

If x = 8, what is the value of 4x + 6 to be determine.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

What are equations?

The equation is the relationship between variables and is represented as y = 4x +8 is an example of a polynomial equation.

Here, the expression is given as,
y = 4x + 8
now we have x = 8, put this x in y
y = 4(8) + 6
Solving the equation using the PEMDAS rule of mathematics
1St open the parenthesis of 8 then multiply this 8 by 4.
y = 4*8 +6
y = 32 + 6
Now adding 32 and 6 will give 38
y = 38

Thus, the required value of expression 4x + 6 is 38 when x = 8.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

help me this is due this period please please ill mark brainiest with a bunch of points.

Answers

Answer:

(-4,1)

Step-by-step explanation:

The answer is just where the two lines intersect

I'm rather tired so double check me on this but I'm getting about (-4,1) and it's asking for an approximation so think (-4,1) is fine

Answer:

It's around (-4. 5, 1.5). It's somewhere in that range.

15 POINTS-

Karen invented a new product that she makes for $2.45. She sells the
product to Walmart marked up 45%. How much does Walmart pay for the
product?

Answers

I think it’s $3.55
I think this because if u subtract 2.45- 45% = 1.10 sooo u will have to add $1.10 to 2.25 and that will add up the 45% that Walmart is paying with the original price.

Which equation shows how to rewrite the sum of 30 and 45 using their greatest common factor? 30 + 45 = 5(6 + 9) 30 + 45 = 15(2 + 3) 30 + 45 = 5(6) + 15(3) 30 + 45 = 5(6)(3)

Answers

Answer: 30 + 45 = 15(2 + 3)

Step-by-step explanation:

The greatest common factor for 30 and 45 will be gotten as follows:

Factor of 30 = 2 × 3 × 5

Factor of 45 = 3 × 3 × 5.

GCF = 3× 5 = 15

Therefore, the equation that shows how to rewrite the sum of 30 and 45 using their greatest common factor will be:

30 + 45 = 15(2 + 3)

Evaluate the following expressions given x=6 and y=-3

Answers

a.

[tex] \purple{5 \times 6 - 4 \times ( - 3)}[/tex]

[tex] = 30 + 12[/tex]

[tex] \blue{ = \boxed{42}}[/tex]

b.

[tex] \purple{ {6}^{2} + \frac{6}{ - 3} }[/tex]

[tex] = 36 - 2[/tex]

[tex] \blue{ = \boxed{34}}[/tex]

c.

[tex] \purple{(6 - 5 {)}^{3} + {( - 3)}^{2} }[/tex]

[tex] = {1}^{3} + 9[/tex]

[tex] = 1 + 9[/tex]

[tex] \blue{ = \boxed{10}}[/tex]

=============================

Hope it helps

=============================

A card is in the shape of a rectangle. The length of the card is 7 cm
and the area of the card is 35 sq cm. What is the width of the card in
centimeters?

Answers

lol ok so

7*something or you can make it into a variable x=35

7*x=35

/7     /7

x=5.

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 55% salt and Solution B is 80%
salt. She wants to obtain 30 ounces of a mixture that is 65% salt. How many ounces of each solution should she use?

Answers

Solution B is the one she should use

Helppp meee pleaseee

Answers

Answer:

I'm not sure sorry if I'm wrong but I think the answers would be 3,4,5

Carson wants to install wallpaper on the wall in his bedroom with the shape and dimensions shown below. 14 ft 11 ft 12 ft - To determine the area of the wall, he divides it into a triangle and a rectangle. What are the dimensions of the triangle?​

Answers

Answer:

B

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

I did the test.

how do you solve this

Answers

Pretty sure it’s -8

PLZ HELP ME ASAP PLZ

Answers

Answer:

14

Step-by-step explanation:

5×2²-2-4

5×4-2-4

20-2-4

18-4

14

Answer:

Rewrite the absolute value equation as four equations without absolute value bars.

5z−2=z+65−2=−(z+6)−(5z-2)=z+6−(5z−2)=−(z+6)

After simplifying, there are only two unique equations to be solved.

5z−2=z+65z−2=−(z+6)

Solve

5z−2=z+6 for z.

Tap for more steps...

z=2

Solve

5z−2=−(z+6)for z.

Tap for more steps...

z=−23

List all of the solutions.

z=2,−23

The result can be shown in multiple forms.

Exact Form:

z=2,−23

Decimal Form:

z=2,−0.6

Step-by-step explanation:

it is 0.6

PLEASE I BEG OF YOU TO HELP ME PLEASE

Answers

Answer:

its B

Step-by-step explanation:

i did it earlier today

Answer:

A

Step-by-step explanation:

-1x-12≤-4

-x≤8

x≥-8

Cook´s bakery is making 15 cakes . Each contains 2 cups of flour . How many cups of flour {f} are needed to make all the cakes

Answers

Answer:

A

Step-by-step explanation:

i got from USATestprep

find the simple interest on each amount 1500 at 11% for two years

Answers

Answer:

330.00

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 11%/100 = 0.11 per year,

then, solving our equation

I = 1500 × 0.11 × 2 = 330

I = $ 330.00

The simple interest accumulated

on a principal of $ 1,500.00

at a rate of 11% per year

for 2 years is $ 330.00.

write 8,000,000 in scientific notation ?​

Answers

Answer:

A: 8 x 10^6

Step-by-step explanation:

What is -1 1/3 in a decimal

Answers

Answer:

1.333

Step-by-step explanation:

if rounded then it's 0.333

if wrong I apologize

How do I find x in this problem?

Answers

Answer:

(6-2)×180 = 720

101+154+72+123+145+x=720

595 + x = 720

x = 720-595

x= 125

Solve the inequality
x2-x-12 < 0
+

Answers

Step-by-step explanation:

x2-x-12<0

x2-x<12

x=12

the answer is x= 12

y=2x^2-8x
find a b and c then find the vertex then graph it

Answers

Answer:

y=2x2−8x

y=2x2−8x

Step-by-step explanation:

Xmin:

-10

Xmax:

10

Ymin:

-10

Ymax:

10


Find the slope of the line that
passes through the following
points. (0,0), (-2,-4)

Answers

Answer:

m=2

Step-by-step explanation:

math is hard

Answer:

2

Step-by-step explanation:

The equation for finding slope is:

[tex]\frac{y_{2} - y_{1}}{x_{2}-x_{1}}[/tex]

Plugging in our values of x and y gives us:

(-4 - 0)/(-2-0) =

-4/-2 =

4/2 =

2

Other Questions
Find the simple interest you are investing $200 with a 5.2% interest rate of 3 years A cell phone battery with 22% charge takes 176 minutes to run out. How long will a fully charge battery last? In 8 hours if Martha writes 2 essays, how many essays can she write in 15 hours? 8.7, 8.9, 9.0 is the answer Juan bought 4.5 lbs of coffee for $7.98 per lb. Sales tax is 6%. What was the total amount Juan paid for the coffee? describe how easter is celebrated Match the term with the definition. (5 points) Column A 1. Triangle : Triangle 2. Rectangle : Rectangle 3. Circle : Circle 4. Cylinder : Cylinder 5. Cone : Cone Column B a. perpendicular cross section of a pyramid b. parallel cross section of a sphere c. shape created when a right triangle is rotated about the y-axis d. shape created when a rectangle is rotated about the y-axis e. perpendicular cross section of a cylinder A car is pushed with a force of 450 N for 19.4 seconds. What impulse was applied to the car? Solve the system by substitution.y = 5xy = 9x + 4 6 An object can never haveA. a positive speed.B. a negative speed.C. a positive velocity.D. a negative velocity. I NEED HELP ASAP!!1. is Pepsi a mixture or pure substance?2. is Sulfur mixture or pure substance?3. is Copper penny pure or substance? HELPPP IF U HELP U GET 50 POINTSTHE FAT CAT ATE THE RAT. Delete the first E and regroup the words in groups of 3. Does the sequence still make this? How does this illustrate genetic mutation? 1 Complete the sentences in Present progressive formMaria ____________ ___________________ (comer) en la cafeteria2 Complete the sentence in Present Progressive form.Maria y Carmen _______________ __________________ (hablar) con sus amigos.3 Complete the sentence in Present progressive form.Juan ___________ _______________ (escribir) una carta.4 Complete the sentence in Present Progressive form.Yo _______________ ____________________ (estudiar) espaol. Plz help Describe the movement of Earths mantle. Explain how convection currents can cause tectonic plates to move. (06.02)The graph shows the number of hours driving and the distance from home:Road Trip350300250200Distance from Home15010050010 12.3 4 5 6Hours DrivingWhich statement best describes the relationship between the number of hours drivingaAs the hours driving increases, the distance from home decreasesObAs the hours driving increases, the distance from home increases.As the hours driving decreases, the distance from home increasesNo relationship can be determined. 3(x + 4) x > 4 lol i dont know the answer Solve.8y 56a. y 7b. y 7c. y 7d. y 7 most1 pointIn ancient times, the status of manual laborers ---- low as slavesphysical labor.O is / would doO was / didO would be / doO was / would be doingO will be / was doingO BI9hp what is the the 70th term of the arithmetic sequence 26, -19, -12, According to the diagram below, In which hemisphere is it NIGHT and SUMMER?1. NW Hemisphere2. NE Hemisphere3. SW Hemisphere4. SE Hemisphere