Question

Write an equation for the parabola that has a vertex of (-1,8) and goes through the point of (2,-10)

Answer 1

Standard Form:

`y=2x^(2) -4x+6`

Vertex Form:

`y=-2(x+1)^(2) +8`

Explanation:

General equation:

`y=a(x-h)^(2)+k`

To find a, substitute the points to the general equation.

vertex (h,k)

(2, -10) (x,y)

Find y, use the general equation and substitute the vertex points (h,k) and a to get the standard form.