Question 933106: Kindly help me with parabola question.the x and y intercept of a quadratic function in the form y=a(x-h)^2+k
are (2,0),(-4,0)(0,16).solve for a,h and k.
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website!  ,Vertex Form, where  and y-coordinate of the vertex, and  is x-coordinate of the vertex
vertex is at (h, k)
given points:
( , ),----> x-intercept
( ,)----> x-intercept
(, )-> since  , this is y-intercept and  , then vertex is at (h, 16)
since
Vertex:
 coordinate of vertex is and the x-coordinate of the vertex is halfway between the x-coordinates of the x-intercepts which is the distance from to divided by : 
then 
so, we know that  and  ; so, the coordinate of the vertex are ( ,)
now find  using one of given points and vertex
...use (,)-> since  , this is 
so, our equation is:
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