Question

draw the figure and its reflection in the y - axis. identify the coordinates of the image. t(4, - 2), u(4, 2), v(6, - 2)

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ in the $y -$axis, the rule is $(-x,y)$.

Step2: Apply rule to point T

For $T(4, - 2)$, substituting $x = 4$ and $y=-2$ into the rule, we get $T'(-4,-2)$.

Step3: Apply rule to point U

For $U(4,2)$, substituting $x = 4$ and $y = 2$ into the rule, we get $U'(-4,2)$.

Step4: Apply rule to point V

For $V(6,-2)$, substituting $x = 6$ and $y=-2$ into the rule, we get $V'(-6,-2)$.

Answer:

The coordinates of the reflected image are $T'(-4,-2)$, $U'(-4,2)$, $V'(-6,-2)$