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find the equation of a parabola whose vertex is at (-1,7), whos axis of symmertry is x=-1, and who's y-intercept is (0,10). write your answer in vertex form.

 Feb 28, 2021
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write in vertex form first: y = a(x + 1)^2 + 7

 

The coefficient "a" is there because knowing the vertex isn't enough to determine the equation. We can plug in the point (0, 10):

 

10 = a + 7

a = 3

 

 

So, the equation is y = 3(x+1)^2 + 7.

 Feb 28, 2021

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