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Find the equation of a parabola whose vertex is at (−1, 7), whose axis of symmetry is x = −1, and whose y-intercept is (0, 18). Write your answer in vertex form.

 Aug 17, 2021
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Vertex form of parabola

 

y =a (x+1)^2 +

  = a ( x^2 + 2x + 1)       a*1 + 7   must equal the y -axis intercept of 18     so   a = 11

 

y = 11(x+1)^2 + 7

 Aug 17, 2021

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