Question

What is the x-intercept of f(x)=-(x+8)^2+12?

Answer 1

Replace f(x) with 0. Then solve for x.
\[\Large f(x)=-(x+8)^2+12\]
\[\Large 0=-(x+8)^2+12\]
\[\Large 0-12=-(x+8)^2+12-12\]
\[\Large -12=-(x+8)^2\]
\[\Large -(x+8)^2=-12\]
\[\Large (x+8)^2=12\]
Do you see what to do next?

Answer 2

can you respond to the question?

Answer 3

Treat your f(x) as the value of y for which x is placed. You know that the x intercept occurs when y=0, so simply make f(x) valued at 0, and solve the other side of the equation

Answer 4

You need to solve the equation (x+8)^2=12. There will be two results. Please check to ensure that one or both of these results is actually a solution of the original equation.