Question

figure q is the result of a transformation on figure p. which transformation would accomplish this? answer a translation 4 units up a reflection over the x -axis a reflection over the y -axis a translation 4 units down

Explanation:

Step1: Recall transformation rules

When a point $(x,y)$ is reflected over the $x - axis$, the new point is $(x, - y)$. When translated up or down, the $x -$coordinate stays the same and the $y -$coordinate changes by the number of units of translation. When reflected over the $y -$axis, the new point is $(-x,y)$.

Step2: Analyze Figure P and Figure Q

For each point in Figure P, the $x -$coordinate remains the same and the $y -$coordinate changes its sign to get the corresponding point in Figure Q. For example, if a point in Figure P is $(x,y)$, the corresponding point in Figure Q is $(x, - y)$. This is the rule for reflection over the $x -$axis.

Answer:

A reflection over the x - axis