Question

the point z is plotted on the coordinate grid below. plot the point z, the reflection of z over the y - axis. click on the graph to plot a point. click a point to delete it. answer attempt 1 out of 10 you must answer all questions above in order to submit.

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ over the $y$-axis is $(-x,y)$.

Step2: Identify coordinates of $Z$

Let's assume $Z$ has coordinates $(-2,1)$.

Step3: Apply the rule

For $x=-2,y = 1$, using the rule $(-x,y)$, we get $-(-2)=2$ and $y$ remains $1$. So $Z'$ has coordinates $(2,1)$.

Answer:

To plot the reflection of point $Z$ (assume the coordinates of $Z$ are $(- 2,1)$) over the $y$-axis, the coordinates of $Z'$ will be $(2,1)$. You would click on the point $(2,1)$ on the graph to plot $Z'$.