Question

The parabola passes through left parenthesis 2 comma 20 right
parenthesis and left parenthesis 3 comma 15 right parenthesis,
then continues to its vertex at the plotted and labeled point left
parenthesis 4 comma 8 right parenthesis. It continues through
left parenthesis 5 comma 10 right parenthesis and left
parenthesis 7 comma 20 right parenthesis. All values are
approximate.
What is the vertex form of the graphed equation?
(1 point)
y = 2(x − 4) + 8
2
y = 2(x − 4) − 8
2
y = −2(x − 4) + 8
2
y = 2(x + 4) + 8

Answer 1

Vertex form is y = a(x − 4)^2 + 8. Use (5,10): 10 = a(5−4)^2 + 8 → a = 2. So y = 2(x − 4)^2 + 8.