or A parabola opening up or down has vertex (0,1) and passes through (4,5). Write its equation in vertex form.

Question

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Answer 1

f(x) = a(x^2) + 1

5 = a(16)+1

a = 4/16 = 1/4

f(x) = (1/4)x^2+ 1 is the parabola's equation in vertex form