Question

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)?

Answer 1

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]