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)
Responses

y=(x−5)2−3
y equals left parenthesis x minus 5 right parenthesis squared minus 3

y=2(x−5)2−3
y equals 2 left parenthesis x minus 5 right parenthesis squared minus 3

y=3(x−5)2−3
y equals 3 left parenthesis x minus 5 right parenthesis squared minus 3

y=−(x−3)2−5
y equals negative left parenthesis x minus 3 right parenthesis squared minus 5

Answer 1

y = 2(x − 5)^2 − 3

Reason: Vertex at (5, −3) gives y = a(x−5)^2 − 3. Plugging (4, −1): −1 = a(1) − 3 → a = 2.