Question

the point p is plotted on the coordinate grid below. plot the point p, the reflection of p over the y - axis. click on the graph to plot a point. click a point to delete it. answer attempt 1 out of 2 coordinates of p: ( , ) coordinates of p: ( , ) when a point is reflected over the y - axis, the changes sign.

Explanation:

Step1: Identify coordinates of P

By observing the graph, the point $P$ is 1 unit to the left of the $y$-axis and 6 units above the $x$-axis. So the coordinates of $P$ are $(-1,6)$.

Step2: Apply reflection rule

The rule for reflecting a point $(x,y)$ over the $y$-axis is $(-x,y)$. For point $P(-1,6)$, when we apply the rule, $x=- 1$ becomes $-(-1) = 1$ and $y = 6$ remains the same. So the coordinates of $P'$ are $(1,6)$.

Step3: Fill in the blanks

The coordinates of $P$ are $(-1,6)$ and the coordinates of $P'$ are $(1,6)$. When a point is reflected over the $y$-axis, the $x$-coordinate changes sign.

Answer:

Coordinates of $P$: $(-1,6)$
Coordinates of $P'$: $(1,6)$
When a point is reflected over the $y$-axis, the $x$-coordinate changes sign.