Determine where the function is increasing and where it is decreasing.
-$$f ( x ) = x ^ { 2 } + 4 x + 4$$
A) increasing on $( 2 , \infty )$
decreasing on $( - \infty , 2 )$

B) increasing on $( - 2 , \infty )$
decreasing on $( - \infty , - 2 )$

C) increasing on $( - \infty , - 2 )$
decreasing on $( - 2 , \infty )$

D) increasing on $( - \infty , 2 )$
decreasing on $( 2 , \infty )$

Question

Determine where the function is increasing and where it is decreasing.
-$$f ( x ) = x ^ { 2 } + 4 x + 4$$
A) increasing on $( 2 , \infty )$
 decreasing on $( - \infty , 2 )$

B) increasing on $( - 2 , \infty )$
decreasing on $( - \infty , - 2 )$

C) increasing on $( - \infty , - 2 )$
decreasing on $( - 2 , \infty )$

D) increasing on $( - \infty , 2 )$ 
decreasing on $( 2 , \infty )$

Quizplus · Accepted Answer

The function $f(x) = x^2 + 4x + 4$ can be rewritten as $(x+2)^2$, which has its vertex at $(-2, 0)$. Since it's a parabola opening upwards, it decreases to the left of $-2$ and increases to the right of $-2$.

Determine Where the Function Is Increasing and Where It Is f(x)=x2+4x+4f ( x ) = x ^ { 2 } + 4 x + 4f(x)=x2+4x+4

Determine Where the Function Is Increasing and Where It Is $f ( x ) = x ^ { 2 } + 4 x + 4$