Question

Which equation is equivalent to the formula below

y=a(x−h)²+k
A. k=y+(x−h)²
B. x=± √y-k/a -h
C. h=x−(y-k/a)²
D. a= y-k/(x-h)²
​


​

Answer 1

The equation that is equivalent to y=a(x−h)²+k is a= y-k/(x-h)².

Step-by-step explanation:

The equation that is equivalent to y=a(x−h)²+k is option D. a= y-k/(x-h)².

To find the equivalent equation, we need to isolate a in the given equation. Let's start by subtracting k from both sides:

y - k = a(x-h)²

Next, divide both sides by (x-h)²:

(y - k) / (x-h)² = a

This gives us the equation a= y-k/(x-h)², which is equivalent to the given formula y=a(x−h)²+k.