Question

The parabola declines through left parenthesis 4 comma negative 1 right parenthesis, drops to left parenthesis 5 comma negative 3 right parenthesis, then increases to left parenthesis 6 comma negative 1 right parenthesis. All values are approximate.

What is the equation for the function in the graph?

(1 point)

y=(x−5)2−3


y=−(x−3)2−5


y=2(x−5)2−3


y=3(x−5)2−3

Answer 1

Vertex at (5, −3) gives y = a(x−5)^2 − 3. Use (4, −1): −1 = a(4−5)^2 − 3 = a(1) − 3, so a = 2.

Answer: y = 2(x−5)^2 − 3.