Question

Write the equation of the parabola in vertex form.
vertex(2,1),points (1,-4)
F(x)=?

Answer 1

Explanation:

The general vertex form is given by

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

where (h, k) is the vertex and a is a constant. So we can write the y as

`y = a {(x - 2)}^(2) + 1`

To find the value of a, substitute the point (1, -4)

-4 = a(1 - 2)^2 + 1

or a = -5

Therefore, the vertex form of the parabola is

`y = - 5 {(x - 2)}^(2) + 1`