Question

How do you write the vertex form equation of the parabola `F(x)=x^2-4x-7`?

Answer 1

`F(x)=(x-2)^2-11`

Explanation:

vertex form Equation of the Parabola is `y=a(x-h)^2+k`
`F(x)=x^2-4x-7`
`=x^2-4x+4-4-7`
`=(x-2)^2-11`
This is the vertex form Equation of the Parabola `F(x)` where `h=2` and `k=-11` and Parabola opens `up` since `a=1` is positive