SOLUTION: Write a quadratic function in vertex form whose graph has the vertex (−5, −1) and passes through the point (−2, 2)

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Question 1135282: Write a quadratic function in vertex form whose graph has the vertex (−5, −1)
and passes through the point (−2, 2)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

a quadratic function in vertex form:
y=a%28x-h%29%5E2%2Bk
if the vertex at (-5, -1)=>h=-5 and k=-1
y=a%28x-%28-5%29%29%5E2-1
y=a%28x%2B5%29%5E2-1
and if passes through the point (-2,+2) =>x=-2 and y=2
2=a%28-2%2B5%29%5E2-1....solve or a
2%2B1=a%283%29%5E2-1
3=9a
a=3%2F9

a=1%2F3

your equation is: y=%281%2F3%29%28x%2B5%29%5E2-1