SOLUTION: What is the standard equation of the parabola with given: vertices (2,5) parallel to x-axis and passes through (7,1)

Question 983852: What is the standard equation of the parabola with given: vertices (2,5) parallel to x-axis and passes through (7,1)
Answer by Timnewman(323) (Show Source): You can put this solution on YOUR website!
Hi dear,
is the equation of a parabola.
since the parabola pass through the (7,1),
then substitute the point in the equation above.

a=4/5
Also the standard equation of a parabola is given by

where (h,k) is the coordinate of it's vertice.
If a=4/5
(h,k)=(2,5)
substitute the above in the standard equation and get

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