Question

Write the equation of the parabola in vertex form.

Vertex (1,2) point (2,-4)

Answer 1

`f(x)=6(x-2)^2-4`

Explanation:

The equation in vertex form is

`f(x)=a(x-2)^2 - 4`

Substituting in the coordinates (1,2) to find a,

`2=a(1-2)^2 - 4 \\ \\ 2=a-4 \\ \\ a=6 \\ \\ \therefore f(x)=6(x-2)^2-4`