SOLUTION: Write a quadratic function in vertex form whose graph has the vertex(-3,5) and passes through the point (0,−14)

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Question 1135281: Write a quadratic function in vertex form whose graph has the vertex(-3,5) and passes through the point (0,−14)

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

y=a%28x-h%29%5E2%2Bk
if the vertex at (-3, 5)=>h=-3 and k=5
y=a%28x-%28-3%29%29%5E2%2B5
y=a%28x%2B3%29%5E2%2B5
and if passes through the point (0,+-14) =>x=0 and y=-14
-14=a%280%2B3%29%5E2%2B5....solve or a
-14=a%283%29%5E2%2B5
-14-5=9a
a=-19%2F9




your equation is: y=%28-19%2F9%29%28x%2B3%29%5E2%2B5