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docker41 [41]
3 years ago
6

The graph of a quadratic function has roots at -3 and -7 and a vertex at (-5, 4). What is the equation of the function in vertex

form?
Mathematics
1 answer:
melomori [17]3 years ago
3 0

Answer:

y = -(x + 5)² + 4

Step-by-step explanation:

The roots are -3 and -7, so:

y = a (x + 3) (x + 7)

Distribute and complete the square:

y = a (x² + 10x + 21)

y = a (x² + 10x + 25 − 4)

y = a (x² + 10x + 25) − 4a

y = a (x + 5)² − 4a

The vertex is (-5, 4), so a = -1.

y = -(x + 5)² + 4

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I WILL GIVE BRAINLIEST FOR CORRECT ANSWER!!
Reil [10]

Answer:

2 1/2 divided by 5/2 is 1.

6 3/4 divided by 2 1/4 is 3

3 divided by 2/3 is 9/2.

1/3 divided by 3 is 1/9.

Step-by-step explanation:

hope I helped

7 0
3 years ago
Read 2 more answers
When cut into 16 equal slices, each slice is 1/16 of the pizza. Express how much of the pizza 8 of these slices would be in deci
antoniya [11.8K]

Answer:

0.5

Step-by-step explanation:

If one part = 1/17

Then, 8 parts = 1/16 x 8 = 1/2

1/2/as a decimal is 0.5

Hope this helps

7 0
3 years ago
Jean transformed a point by using the rule (x,y) (x-6, y+8). The image point is (–4, 1). Which point is the pre-image?
lubasha [3.4K]
For this case we have the following transformation:
 (x, y) (x-6, y + 8)

 Using the transformation we have that the image is:
 (-4, 1)

 Therefore, making use of this information, we can find the coordinates of the pre-image
 We have then:
 x-6 = -4

 From here, we clear x:
 x = -4 + 6

x = 2
 On the other hand we have:
 y + 8 = 1

 From here, we clear y:
 y = 1-8

y = -7
 The coordinates of the pre-image is:
 (x, y) = (2, -7)

 Answer:
 
A point that is the pre-image is:
 
(x, y) = (2, -7)
3 0
4 years ago
Read 2 more answers
PQ= 2x +1 and QR= 5x - 44; find PQ
Lena [83]

2x+1=5x-44 that would be your equation

next start to simplify 

subtract 1 from both sides so you are left with 2x=5x-45

then subtract 5x from both sides and you have -3x=-45

then finally divide -3 from -45 to get x=15

6 0
3 years ago
Read 2 more answers
Two dives are tossed once what is the probability that the sum is less than 7
Zarrin [17]

Answer:

15/36 = 5/12

Hope this helps!

4 0
3 years ago
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