Question

If $g\left(x\right)$ is a transformation that moves $f\left(x\right)$ three units to the right and then reflects it across the $x$-axis, then $g\left(x\right)=$

• A. $f(-x)+3$
• B. $f(-x)-3$
• C. $f\left(x\right)+3$
• D. $-f(x+3)$
• E. $-f(x-3)$

Answer 1

The correct option is E $-f(x-3)$

The transformation to move $f\left(x\right)$ three units to the right is $f(x-3)$.

Then to reflect this across the $x$-axis, change it to $-f(x-3)$.