Question
he graph shows the function f(x)=|x|+2. Place the appropriate symbols in the equation of g(x) so that g(x) is a transformation of f(x) that follows the rule rx−axis.(1 point)g(x)=
Answers
GPT-4o mini
To transform the function \( f(x) = |x| + 2 \) by reflecting it across the x-axis, we need to multiply the entire function by -1.
Thus, the equation for \( g(x) \) will be:
\[
g(x) = -(|x| + 2)
\]
This reflects the graph of \( f(x) \) across the x-axis.
Alternatively, you can also express this as:
\[
g(x) = -|x| - 2
\]
Both forms are correct for the transformation that reflects \( f(x) \) across the x-axis.
Thus, the equation for \( g(x) \) will be:
\[
g(x) = -(|x| + 2)
\]
This reflects the graph of \( f(x) \) across the x-axis.
Alternatively, you can also express this as:
\[
g(x) = -|x| - 2
\]
Both forms are correct for the transformation that reflects \( f(x) \) across the x-axis.