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kakasveta [241]
4 years ago
11

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Mathematics
1 answer:
Galina-37 [17]4 years ago
7 0

Answer:

Step-by-step explanation:

Hello, we know that if the equation is

   y=a(x-h)^2+k

Then the vertex is the the point (h,k)

Here, the vertex is the point (-2,-20) so we can write, a being a real number that we will have to find,

y=a(x-(-2))^2-20=a(x+2)^2-20

On the other hand, we know that the y-intercept is (0,-12) so we can write

-20=a(0+2)^2-12=4a-12\\\\\text{We add 12 and we divide by 4.}\\\\4a = -20+12=-8\\\\a = \dfrac{-8}{4}=-2

So the equation becomes.

\boxed{y=-2(x+2)^2-12}

And we can give the standard form as below.

y=-2(x+2)^2-12=-2(x^2+4x+4)-12\\\\=-2x^2-8x-8-12 \ \\\\\boxed{y=-2x^2-8x-20}

Thank you.

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Answer:

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Step-by-step explanation:

Score is proportional to the amount of correctly answered question :

Given that:

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Step-by-step explanation:

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