Chapter 3, Problem 1RE

To determine

The vertex of the parabola $f\left(x\right)=-{\left(x+5\right)}^2+2$.

Answer to Problem 1RE

Solution:

The vertex of the parabola is $\left(-5,2\right)$.

Explanation of Solution

It is known that if $f\left(x\right)=a{\left(x-h\right)}^2+k$ $\left(a\ne 0\right)$, the vertex of the parabola is the point $\left(h,k\right)$.

Here the given function is $f\left(x\right)=-{\left(x+5\right)}^2+2.$

Therefore, in this function the vertex of the parabola is $\left(-5,2\right)$.