SOLUTION: Find an equation of the parabola that has the indicated vertex and whose graph passes through the given point Vertex: ( 2, -1) ; point: ( 4, -3)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find an equation of the parabola that has the indicated vertex and whose graph passes through the given point Vertex: ( 2, -1) ; point: ( 4, -3)      Log On


   

Question 955410:
Find an equation of the parabola that has the indicated vertex and whose graph passes through the given point
Vertex: ( 2, -1) ; point: ( 4, -3)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Using the vertex form,
y=a%28x-2%29%5E2-1
Then using the point,
-3=a%284-2%29%5E2-1
-3=a%282%5E2%29-1
-3=4a-1
-2=4a
a=-1%2F2
So,
y=-%28x-2%29%5E2%2F2-1
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