Question

1. function $g$ is defined by the equation $g(x) = |x|$.

function $r$ is defined by the equation $r(x) = |x| + 2$.
describe how the graph of function $r$ relates to the graph of $g$, or sketch the graphs of the two functions to show their relationship.

answer attempt 1 out of 10

both graphs make a $\boldsymbol{▷}$. graph r is shifted $\boldsymbol{square}$ units $\boldsymbol{▷}$.

Explanation:

The parent function $G(x)=|x|$ has a V-shaped graph. For a function transformation of the form $R(x)=G(x)+k$, when $k>0$, the graph of $G(x)$ is shifted upward by $k$ units. Here, $k=2$.

Answer:

Both graphs make a V-shape. Graph $R$ is shifted $\boldsymbol{2}$ units upward.