Question

Which equation is equivalent to the formula below?
y=a(x-h)^2+k

Option A. h = x-(y-k/a)^2
Option B. k = y+(x-h)^2
Option C. x = +-SquareRoot(y-k/a) -h
Option D. a = y-k/(x-h)^2

Answer 1

Option D is the correct answer :)

Answer 2

Answer:

Choice D is correct.

Step-by-step explanation:

Given expression is :

y=a(x-h)²+k

we have to simplify it.

y=a(x-h)²+k

Adding -k to both sides of above equation,we get

y-k=a(x-h)²+k-k

y-k=a(x-h)²+0

y-k=a(x-h)²

Dividing by (x-h)² to both sides of above equation,we get

y-k/(x-h)²=a(x-h)²/(x-h)²

y-k/(x-h)²=a(1)

y-k/(x-h)²=a

a=y-k/(x-h)² which is the answer.