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

Question

Quizplus · Accepted Answer

To find the x-intercepts, set $y = 0$ and solve for $x$: $0 + 9 = (x + 3)^2$. This simplifies to $9 = (x + 3)^2$. Taking the square root of both sides gives $x + 3 = \pm3$. Solving for $x$ gives $x = 0$ and $x = -6$, which corresponds to the points $(0,0)$ and $(-6,0)$.

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

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