Question

reflections as functions quick check
the coordinate p (-2, 7) is reflected over the y - axis. state the coordinate of p. (1 point)
p (2, 7)
p (7, 2)
p (2, -7)
p (-2, -7)

Explanation:

Step1: Recall reflection rule

When a point $(x,y)$ is reflected over the $y$-axis, the rule is $(x,y)\to(-x,y)$.

Step2: Apply rule to point $P$

Given $P(-2,7)$, where $x = - 2$ and $y=7$. After reflection over the $y$-axis, $x$ becomes $-(-2)=2$ and $y$ remains $7$. So the new - coordinate $P'$ is $(2,7)$.

Answer:

$P'(2,7)$