SOLUTION: Find the quadratic function that has the given and goes through the given point. Vertex (4,6),point (-2,0).

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Find the quadratic function that has the given and goes through the given point. Vertex (4,6),point (-2,0).      Log On


   

Question 1124571: Find the quadratic function that has the given and goes through the given point. Vertex (4,6),point (-2,0).
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
More than one function possible. Choosing vertical symmetry axis,

y-6=a%28x-4%29%5E2
%28y-6%29%2F%28x-4%29%5E2=a
a=%28-6%29%2F%28-2-4%29%5E2
a=-6%2F6%5E2
a=-1%2F6
-
y-6=-%281%2F6%29%28x-4%29%5E2
highlight%28y=-%281%2F6%29%28x-4%29%5E2%2B6%29