Question

Which of the following is an x-intercept of the graph of the function shown below? f(x) = x2 + 6x + 9 O A. x = 6 O B. x=9 O C. X=-3 O D. x = 3 PREVIOUS Type here to search

Answer 1

Given:

The function is,

`f(x)=x^2+6x+9`

Step-by-step explanation:

For x-intercept of the function f(x) = 0. So

`0=x^2+6x+9`

Solve the equation for x.

`\begin{gathered} x^2+6x+9=0 \\ x^2+3x+3x+9=0 \\ x(x+3)+3(x+3)=0 \\ (x+3)(x+3)=0 \\ x=-3,-3 \end{gathered}`

So x-intercept of the function is x = -3.

Answer: x = -3

Option C is correct