Find the x- and y-intercepts. If no x-intercepts exist, state so.
-$$f ( x ) = x ^ { 2 } + 6 x + 9$$
A) $( - 3,0 ) , ( 0,9 )$
B) $( 3,0 ) , ( 0,9 )$
C) $( 9,0 ) , ( 0 , - 3 )$
D) $( 9,0 ) , ( 0,3 )$

Question

Quizplus · Accepted Answer

The x-intercept is found by setting $f(x) = 0$, which gives $x^2 + 6x + 9 = 0$. This factors to $(x + 3)^2 = 0$, so $x = -3$. The y-intercept is found by setting $x = 0$, which gives $f(0) = 0^2 + 6*0 + 9 = 9$.

Find the X- and Y-Intercepts f(x)=x2+6x+9f ( x ) = x ^ { 2 } + 6 x + 9f(x)=x2+6x+9

Find the X- and Y-Intercepts $f ( x ) = x ^ { 2 } + 6 x + 9$