SOLUTION: what quadratic function represents a porabola where the graph has vertex at (-4,2) and passes through (3,9)

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Question 75527: what quadratic function represents a porabola where the graph has vertex at (-4,2) and passes through (3,9)
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Using this general equation:
where a is the compression/stretch factor and (h,k) is the vertex. So the equation comes to:


foil the squared parenthesis
distribute the a
Now plug in the point (3,9)



Subtract 2 from both sides
Divide both sides by 49
So the equation is

Check:
Plug in (3,9) to see if it works




works