Question

draw the figure and its reflection in the y - axis. identify the coordinates of the image. q(-4,2), r(-2,4), s(-1,1)

Explanation:

Step1: Recall reflection rule

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

Step2: Apply rule to point Q

For point $Q(-4,2)$, when reflected over the $y -$axis, $x=-4$ becomes $-(-4) = 4$ and $y = 2$ remains the same. So the image of $Q$ is $Q'(4,2)$.

Step3: Apply rule to point R

For point $R(-2,4)$, when reflected over the $y -$axis, $x=-2$ becomes $-(-2)=2$ and $y = 4$ remains the same. So the image of $R$ is $R'(2,4)$.

Step4: Apply rule to point S

For point $S(-1,1)$, when reflected over the $y -$axis, $x=-1$ becomes $-(-1) = 1$ and $y = 1$ remains the same. So the image of $S$ is $S'(1,1)$.

Answer:

The coordinates of the image are $Q'(4,2), R'(2,4), S'(1,1)$