Question

What is the vertex of the graph of the function below y=x^2+10x+24

Answer 1

The vertex is (-5,-1)

Answer 2

`(-5,-1)`

Explanation:

We are asked to find the vertex of the function
`y=x^2+10x+24`.

First of all, we will find x-coordinate of vertex using formula
`(-b)/(2a)`.

`(-10)/(2*1)`

`(-10)/(2)`

`-5`

Now, we will substitute
`x=-5` in our given formula to find y-coordinate of vertex as:

`y=(-5)^2+10(-5)+24`

`y=25-50+24`

`y=-50+49`

`y=-1`

Therefore, point
`(-5,-1)` is the vertex of the given function.