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 = 3(x − 5) − 3
2
y = −(x − 3) − 5
2
y = (x − 5) − 3
2
y = 2(x − 5) − 3

Answer 1

The vertex is at (5,-3), so y = a(x−5)^2 − 3. Using (4,−1): −1 = a(4−5)^2 − 3 => a − 3 = −1 => a = 2.
Answer: y = 2(x − 5)^2 − 3.