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

Answer:

$(-5,-1)$

Step-by-step 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 $\frac{-b}{2a}$.

$\frac{-10}{2*1}$

$\frac{-10}{2}$

$-5$

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.