Find the x-intercepts (if any)for the graph of the quadratic function.
-$f ( x ) = ( x - 3 ) ^ { 2 } - 9$
A) $( 0,0 )$ and $( 6,0 )$
B) $( 0,0 )$ and $( - 6,0 )$
C) $( 0,0 )$ and $( - 9,0 )$
D) $( - 6,0 )$ and $( 6,0 )$

Question

Quizplus · Accepted Answer

To find the x-intercepts, set $f(x) = 0$: $0 = (x - 3)^2 - 9$. Solving this equation, we get $x - 3 = \pm 3$, which gives $x = 0$ and $x = 6$. Therefore, the x-intercepts are $(0,0)$ and $(6,0)$.

Find the X-Intercepts (If Any)for the Graph of the Quadratic f(x)=(x−3)2−9f ( x ) = ( x - 3 ) ^ { 2 } - 9f(x)=(x−3)2−9

Find the X-Intercepts (If Any)for the Graph of the Quadratic $f ( x ) = ( x - 3 ) ^ { 2 } - 9$