Question

b. $p(8, 6), q(-4, 12), r(7, 7)$ and $p(8, -20), q(-4, -26), r(7, -21)$ enter your answer.

Explanation:

Step1: Analyze change in y - coordinates

For point $P(8,6)$ and $P'(8, - 20)$, the change in $y$ - coordinate is $\Delta y_P=-20 - 6=-26$.
For point $Q(-4,12)$ and $Q'(-4,-26)$, the change in $y$ - coordinate is $\Delta y_Q=-26 - 12=-26$.
For point $R(7,7)$ and $R'(7,-21)$, the change in $y$ - coordinate is $\Delta y_R=-21 - 7=-26$.
The $x$ - coordinates of each corresponding pair of points remain the same.

Step2: Determine the transformation

Since the $x$ - coordinates remain unchanged and the $y$ - coordinates of all points decrease by 26, the transformation is a translation 26 units down.

Answer:

The transformation is a translation 26 units down.