How do you write the vertex form of the equation of the parabola which has a vertex of (0,0) and contains the point (2,-2)?

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How do you write the vertex form of the equation of the parabola which has a vertex of (0,0) and contains the point (2,-2)?

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Answer 1 · 2016-07-04T11:33:00

The equation of parabola is #y= -1/2*x^2#

Explanation:

The equation of parabola having vertex at #0,0# is #y=a(x-0)^2+0 or y=a*x^2#. The parabola contains the point#(2, -2) :. -2 =a*2^2 or a= -1/2#. Putting the value of "a" in the equation of parabola we get #y= -1/2*x^2# graph{(-1/2)*x^2 [-10, 10, -5, 5]}[Ans]

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How do you write the vertex form of the equation of the parabola which has a vertex of (0,0) and contains the point (2,-2)?

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