What is the vertex of Y=x^2+4x+9

Question

asked Dec 8, 2023 15.2k views

1 Answer

Martin Meixger · Answer 1 · 2023-12-12T18:42:02+0000

Answer:

The vertex is at the point;

Step-by-step explanation:

Given the function;

Comparing to the quadratic equation;

The vertex is at;

For the given equation;

$\begin{gathered} a=1 \\ b=4 \end{gathered}$

substituting;

$\begin{gathered} x=-(b)/(2a)=-(4)/(2(1)) \\ x=-2 \end{gathered}$

The value of y at x=-2 is;

$\begin{gathered} y=x^2+4x+9 \\ y=(-2)^2+4(-2)+9 \\ y=4-8+9 \\ y=5 \end{gathered}$

Therefore, the vertex is at the point;