SOLUTION: Write a quadratic function whose vertex is (6,2) and passes through the point (2,8) Thank you!!

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Question 1066833: Write a quadratic function whose vertex is (6,2) and passes through the point (2,8)
Thank you!!
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Start with standard form equation of parabola.
y=a%28x-6%29%5E2%2B2---this uses the vertex information for this equation.


What is the factor, "a"?
a%28x-6%29%5E2=y-2
a=%28y-2%29%2F%28x-6%29%5E2

a=%288-2%29%2F%282-6%29%5E2

a=6%2F16

a=3%2F8

Put everything back together.
highlight%28y=%283%2F8%29%28x-6%29%5E2%2B2%29