Question

which statement best compares the graphs of the following functions $f(x)$ and $g(x)$?
$f(x)=x^2$
$g(x)=\frac{1}{2}x^2 + 2$
show your work here
\bigcirc compared to $f(x)$, the graph of $g(x)$ is more vertically compressed and is shifted 2 units down.
\bigcirc compared to $f(x)$, the graph of $g(x)$ is more vertically stretched and is shifted 2 units up.
\bigcirc compared to $f(x)$, the graph of $g(x)$ is more vertically stretched and is shifted 2 units down.
\bigcirc compared to $f(x)$, the graph of $g(x)$ is more vertically compressed and is shifted 2 units up.

Explanation:

Answer:

Compared to \( f(x) \), the graph of \( g(x) \) is more vertically compressed and is shifted 2 units up.