Question

Use the image to answer the question.▼Click for Long DescThe 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)Responsesy=2(x−5)2−3𝑦=2(𝑥−5)2−3y equals 2 left parenthesis x minus 5 right parenthesis squared minus 3y=−(x−3)2−5𝑦=−(𝑥−3)2−5y equals negative left parenthesis x minus 3 right parenthesis squared minus 5y=(x−5)2−3𝑦=(𝑥−5)2−3y equals left parenthesis x minus 5 right parenthesis squared minus 3y=3(x−5)2−3𝑦=3(𝑥−5)2−3y equals 3 left parenthesis x minus 5 right parenthesis squared minus 3

Answer 1

y = 2(x − 5)^2 − 3

Reason: vertex at (5, −3) gives y = a(x−5)^2 −3; using (4, −1): −1 = a(1)^2 −3 so a = 2.