Question

What is the vertex of the quadratic function give below.#5

Answer 1

Given the Quadratic Function:

`f\mleft(x\mright)=5\mleft(x+1\mright)^2-3`

You can identify that is written in Vertex Form.

By definition, the Vertex Form of a Quadratic Function is:

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

Where the vertex of the parabola is:

`(h,k)`

In this case, you can identify that:

`\begin{gathered} h=-1 \\ k=-3 \end{gathered}`

Therefore, the answer is:

`(-1,-3)`