A parabola has vertex (2, 3) and contains the point (0, 0). find an equation that represents this parabola.

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23-09-2017
Mathematics

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A parabola has vertex (2, 3) and contains the point (0, 0). find an equation that represents this parabola.

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Аноним Аноним · Answer 1 · 2017-09-23T10:37:05+02:00

Аноним Аноним

23-09-2017

First write it in vertex form :-

y= a(x - 2)^2 + 3 where a is some constant.

We can find the value of a by substituting the point (0.0) into the equation:-

0 = a((-2)^2 + 3

4a = -3

a = -3/4

so our equation becomes y = (-3/4)(x - 2)^2 + 3

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