Question

question
graph the equation shown below by transforming the given graph of the parent function.
$y = |-x|$

Explanation:

Step1: Identify parent function

The parent function is $y=|x|$, which has a V-shape with vertex at $(0,0)$, opening upward.

Step2: Simplify the given function

Use absolute value property: $|-x|=|x|$. So $y=|-x|=|x|$.

Step3: Compare to parent function

Since $y=|-x|$ is identical to $y=|x|$, no transformation is needed.

Answer:

The graph of $y=|-x|$ is exactly the same as the parent absolute value function $y=|x|$, which is a V-shaped graph with vertex at $(0,0)$, passing through points like $(-1,1)$, $(1,1)$, $(-2,2)$, $(2,2)$, etc. (matching the pre-plotted points on the provided grid).