SOLUTION: Find the formula for the quadratic function whose graph has a vertex of (1,2) and passes through the point (-1,-6). Use the coordinates of the vertex to write p(x) in the form p

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the formula for the quadratic function whose graph has a vertex of (1,2) and passes through the point (-1,-6). Use the coordinates of the vertex to write p(x) in the form p      Log On


   



Question 955145: Find the formula for the quadratic function whose graph has a vertex of (1,2) and passes through the point (-1,-6).
Use the coordinates of the vertex to write p(x) in the form p(x)=a(x-h)^2+k (a unknown)
Use the coordinates of the second point to solve for a.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Using the vertex form,
y=a%28x-1%29%5E2%2B2
Then using the point,
-6=a%28-1-1%29%5E2%2B2
a%28-2%29%5E2=-8
a%284%29=-8
a=-2
So then,
highlight%28y=-2%28x-1%29%5E2%2B2%29
.
.
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