Questions: Find g(x), where g(x) is the reflection across the x-axis of f(x)=x. Write your answer in the form ax-h+k, where a, h, and k are integers.

Transcript text: Find $g(x)$, where $g(x)$ is the reflection across the $x$-axis of $f(x)=|x|$. Write your answer in the form $\mathrm{a}|\mathrm{x}-\mathrm{h}|+\mathrm{k}$, where $\mathrm{a}, \mathrm{h}$, and k are integers.

Solution

Solution Steps

To find the reflection of $f(x) = |x|$ across the $x$ -axis, we need to negate the function $f(x)$ . This means $g(x) = -f(x)$ . Since $f(x) = |x|$ , the reflection across the $x$ -axis will be $g(x) = -|x|$ .