Find the x- and y-intercepts for the function defined by y = f (x). $$f ( x ) = x ^ { 2 } + 4 x + 4$$
A) $x$-intercept: $( - 2,0 ) ; y$-intercept: $( 0,4 )$
B) $x$-intercept: $( 2,0 ) ; y$-intercept: $( 0,4 )$
C) $x$-intercept: $( 2,0 ) ; y$-intercept: $( 0,0 )$
D) $x$-intercepts: $( - 2,0 ) , ( 2,0 ) ; y$-intercept: $( 0,4 )$

Question

Quizplus · Accepted Answer

The x-intercept is found by setting $y = 0$, which gives $x^2 + 4x + 4 = 0$, factoring to $(x + 2)^2 = 0$, thus $x = -2$. The y-intercept is found by setting $x = 0$, which gives $y = 0^2 + 4(0) + 4 = 4$.

Find the X- and Y-Intercepts for the Function Defined by Y