Question

The parabola grows through left parenthesis negative 8.5
comma negative 3 right parenthesis, peaks at left parenthesis
negative 4 comma 2 right parenthesis, then drops to left
parenthesis negative 0.5 comma negative 4 right parenthesis.
All values are approximate.
Which response is the correct way to write the equation in vertex
form for the function?
(1 point)
y = − + 4
1
4
(x − 2)
2
y = − + 4
1
4
(x + 2)
2
y = − + 2
1
4
(x − 4)
2
y = − + 2

Answer 1

Vertex form is y = a(x − h)^2 + k with vertex (h,k)=(-4,2), so y = a(x + 4)^2 + 2.

Using the given approximate points, a ≈ -1/4 fits reasonably, so
y = −1/4 (x + 4)^2 + 2.