What is the vertex of the graph of the function f(x) = x2 + 6x + 9?
0 A. (-3,0)
B. (0, -3)
C. (0, 3)
O D. (3, 0)

Answers

Answer 1
A
Pls mark brainliest
Answer 2

The vertex of the given quadratic function is (-3, 0).

What is vertex form of a quadratic equation?

The vertex form of a quadratic equation or function is [tex]f(x)=a(x-h)^{2} +k[/tex].

Where,

(h, k ) is the vertex

And, a is constant.

According to the given question

We have a quadratic function

[tex]f(x) = x^{2} + 6x + 9[/tex]

The above function can be written as  

[tex]f(x) = x^{2} +2(3x) +9[/tex]

⇒[tex]f(x) = x^{2} + 2(3x) + (3^{2}) -(3)^{2} + 9[/tex]

⇒[tex]f(x) = (x+3)^{2} -9+9[/tex]

⇒[tex]f(x) = (x+3)^{2} + 0[/tex]

Comparing the above equation with the standard  vertex form of quadratic function we get

h = -3 and k = 0

Hence, the vertex of the given quadratic function is (-3, 0).

Thus, option A is correct.

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Related Questions

Without showing the graph, explain how Maria’s graph of the two lines proves Peter is not correct.

Answers

Answer:

90

Step-by-step explanation:

90

12 X 0.4

Please help

Answers

Answer:

12 times 0.4 equals 4.8

Step-by-step explanation:

becase if u add 0.4 together 12 times thus will give you 4.8

12*4 = 48

48/10 = 4.8

brainliest and 60 points ;)

8 * 65 * 7 * 321 * 0 * 1=??

Answers

Answer: 0

Step-by-step explanation:

Any expression multiplied by 0 = 0

A scale drawing of an office space uses a scale of 1 in. : 4 yd. The scale drawing has an area of 12 square inches. What is the area of the actual office space?

Answers

Answer: 48 yards

Step-by-step explanation:

From the question, we are informed that a scale drawing of an office space uses a scale of 1 in. : 4 yd.

When the scale drawing has an area of 12 square inches, to get the area of the actual office space, we multiply the given number by 4 since the actual office space is 4× the scale drawing. This will be:

= 12 × 4 yards

= 48 yards

3.72 plus 6.0064
(this is just part of my question.)

Answers

the answer is 9.7546

Answer:

9.7264

Step-by-step explanation:

3.72 + 6.0064 = 9.7264

I hope this helps!

values of x and y
to
135°

Answers

Step-by-step explanation:

Answer:

xy/100=135

xy=13500

x=13500/y

264 equals the sum of 96 and t
Write the sentence as an equation.

Answers

Answer:

96+t=264

Step-by-step explanation:

ANSWER: t+96=264
No explanation needed!

the unit cost of pencils purchased by the city's public schools is $.0435 each. Round to the nearest cent


Answers

I think it’s 5 cents

Plz help 50 points I need help now is it due at 7:30

Answers

Answer:

50

Step-by-step explanation:

I’m not sure what you mean since I can’t see the full on question let me know in the comments the full thing and I’ll answer without a doubt.

Simplify 4/9 - 5/12 + 1/4

Answers

Answer:

5/18

Step-by-step explanation:

The simplified answer is 5/18

Step-by-step explanation:

the answer is

0.27777777777

find x

3x
2x+40
x+50
4x

Answers

Answer:

27

Step-by-step explanation:

The sum of all exterior angles of any quadrilateral= 360°

3x+2x+40+x+50+4x = 360°

11x + 90 = 360°

11x = 360 - 90

10x = 270

x = 270/10

x = 27

f(x) = 4x-1
g(x)=4- x
11) f(-4)=
12) For what value of x is g(x)=-4?
13) f(2)• g(2) =
14)
f(-3)

Answers

Step-by-step explanation:

11. f(-4)= 4x-1

11a. f(-4)= 4(-4)-1

11b. f(-4)= -16-1

11c. f(-4)=-17

12. For what value of x is g(x)=-4

12a. 4-? = -4

12b. 4-8= -4

12c. x = 8

13. (f(2)= 4x-1)×(g(2)= 4-x)

13a. (f(2)= 4(2)-1)×(g(2)= 4-(2)

13b. (f(2)= 8-1)×(g(2)= 4-2)

13c. (f(2)= 9)×(g(2)= 2)

13d. 18

14. f(-3)= 4x-1

14a. f(-3)= 4(-3)-1

14b. f(-3)= -12-1

14c. f(-3)= -13


What is the percent of change in the cost of a DVD set that originally sold for $49.99 and is now
on sale for $24.99? Round to the nearest percent.

Answers

Answer:

50% decrease

Step-by-step explanation:

49.99 - 29.99 = 25

25

---- = 0.5(100) = 50%

49.99

Answer: I dont know witch one you want me to round so I will do both. $49.99 = $50.00 and $24.99 = $25.00 and if you want to add them it would be $75.00

Solve by substitution

Answers

Answer:

(1,4)

Step-by-step explanation:

Answer: x = 1, y = 4

Steps: 3y + 4x = 16,  -2x + y = 2

Isolate y for 3y + 4x = 16:   y = (16 - 4x ÷ 3)

Substitute y into the other equation (-2x + y = 2):   -2x + (16 - 4x ÷ 3) = 2

Simplify: 16 - 10x ÷ 3 = 2

Isolate x for 16 - 10x ÷ 3 = 2:   x = 1

Substitute x = 1 into  y = (16 - 4x ÷ 3):  y = 16 - 4x · 1 ÷ 3

y = 4, x = 1

Plz mark brainliest:)

Please help me with this question!!

Answers

Answer:

the answer you are looking for is B

Answer:

i think the answer is A

Step-by-step explanation:

John is driving on the highway. He begins the trip with 12 Gallons of gas in his car.The car uses up one gallon of gas every 25 miles

Answers

Answer:

300

Step-by-step explanation:

12 gal x 25 miles = 300 miles he can go before needing more gas

solve the formula please!!!!!!!!

Answers

1. Multiply 3 to both sides to get rid of 1/3
2. Divide h to get b alone
3. Square b to get b alone
Your answer ends up being letter A

How do you work out 3^2+2^3 indices

Answers

3^2 +2^3

9+2^3

9+8

Answer : 17

I WILL BRAINLEIST PLEASEMegan earned $4 an hour for babysitting. She earned $16 on Saturday. How many hours did she babysit?

Answers

Answer:

4 hours  

Step-by-step explanation:

16/4= 4

Plz help I don’t get what this is

Answers

Answer:

A) 98.94 sq. meters

B) 42 sq. meters

Step-by-step explanation:

A) So first we calculate the area for the square which is 15*20 = 300. Then we calculate the area of the circle which is pi*r^2 and in this case the radius is 4 which is 1/2 of 8. The area is approx. 201.06. Then we subtract that from 300. 300-201.06 = 98.94. The answer for A) is approx. 98.94

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

B)First we calculate the area of the whole square which is 8*6 = 48. Then the area of the garden which is 2*3 = 6. 48-6 = 42. The answer is B) is 42 then.  

Would the answer to this question be an rational or irrational number

Answers

Answer:

I believe rational

Step-by-step explanation:

Have a brainly day :D

What is 3/16 times 3/8? Someone pls help me

Answers

Answer:

Step-by-step explanation:

3/16*3/8

3*3=9

16*8=128

9/128

Answer:

9/128

Step-by-step explanation:

Answer Both please and thank you
2(n + 5) = −2

144 =−12(x + 5)

Answers

Answer:

1. n=-6

2. x=-17

Step-by-step explanation:

-Please help I need it super bad I don't want to fail :(
-All circles
1. Area of a 7cm circle?
2.Area of a 3cm circle?
3.Area of a circle with a radius of 21cm?
4.Sarahs dining room table is round and has a radius of 4.5feet. What is the tabletops area?
5.If the radius is 51 feet then what is the area?
6.What is the area of 5m?
7.What is the area of 10 inches?
8. What is the area of 12.5cm?
9.What is the area of 21ft?
10.What is the area of 4m?

Answers

Answer:

;-;

Step-by-step explanation:

1) 153.86cm²

2) 28.26cm²

3) 65.94cm²

4) 63.585cm²

5) 8167.14ft²

6) 78.5m²

7) 314in²

8) 490.625cm²

9) 1384.74ft²

10) 50.24m²

Help me please !!!!!!!!

Answers

Answer: Since x is 157 degrees the missing value,m, is 23 degrees because a line is 180 degrees, n is also 23 degrees so it would be the same

Step-by-step explanation:

What is the factored form of 5x − 625x4?

A.
5x(1 + 5x)(1 − 5x + 25x2)
B.
5x(1 − 5x)(1 + 5x + 25x2)
C.
(1 − 5x)(1 + 5x + 25x2)
D.
(1 + 5x)(1 − 5x + 25x2)

Answers

Answer:

B)

Step-by-step explanation:

Answer:

I think b

Step-by-step explanation:

Hi, i really need help!
Look at the images below:
(there is 2 images per question)

Answers

Answer:

The last one

Step-by-step explanation:

The triangle is simply reflected across the x-axis, so the side lengths and angle measures do not change.

Create three different expressions that are each equal to 20. Each expression should include only these three numbers:

4
-2
10

Answers

First expression: 10-4(4/(-2))+2 = 20
Second expression: 10x4-10x(-2) = 20
Third expression: 10-4(-2)+2 = 20

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The three expressions that use only 4, -2, and 10 and that are equal to 20 are:

4 x 2 - (-2) + 10

4 x 10 + (-2) x 10

-2 x (-2) + 4x4

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

We have,

20

The three expressions that are equal to 20 using only 4, -2, and 10 are:

First expression:

4 x 2 - (-2) + 10

= 8 - (-2) + 10

= 8 + 2 + 10

= 20

Second expression:

4 x 10 + (-2) x 10

= 40 - 20

= 20

Third expression:

-2 x (-2) + 4x4

= 4 + 16

= 20

Thus,

The three expressions that use only 4, -2, and 10 and that are equal to 20 are:

4 x 2 - (-2) + 10

4 x 10 + (-2) x 10

-2 x (-2) + 4x4

Learn more about expressions here:

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A figure lies entirely in Quadrant I. The figure is reflected in the x-axis. In which quadrant is the image?

Answers

Answer: quadrant 4 i think...

Step-by-step explanation:

Answer:

Quadrant IV  (4).

Step-by-step explanation:

It will be in the quadrant below which is Quadrant IV.

Chelsea’s family traveled 300 miles by car each day during their family vacation. How many miles did Chelsea’s family travel over all 6 days?

Answers

Answer:

1800 miles

Step-by-step explanation:

If they traveled 300 miles per day and traveled for 6 days you would multiply 300 by 6 and get 1800. I hope that helps

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