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

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Question 983860: What is the standard equation of the parabola with given vertices (2,5), parallel axis to x axis and if its passes through (7,1)
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
This way of showing generalized standard form if parallel to the x-axis:
x-h=a%28y-k%29%5E2

You will use the point (7,1) to find a, and also use the given vertex h=2, k=5.
a%28y-k%29%5E2=x-h
a=%28x-h%29%2F%28y-k%29%5E2
a=%287-2%29%2F%281-5%29%5E2
a=5%2F%28-4%29%5E2
a=5%2F16

Put in the values into the form:
highlight%28x-2=%285%2F16%29%28y-5%29%5E2%29 or if you want, highlight%28x=%285%2F16%29%28y-5%29%5E2%2B2%29.