Question

determine the translation. use non - negative numbers. a translation by units to the right/left and units up/down

Explanation:

Step1: Select a point

Let's take point $C(-6, - 1)$. Its corresponding point $C'(-3,-7)$.

Step2: Calculate horizontal translation

To find the horizontal translation, we subtract the $x$-coordinate of $C$ from the $x$-coordinate of $C'$. So, $x_{C'}-x_{C}=-3 - (-6)=3$. Since the result is positive, it is a translation to the right.

Step3: Calculate vertical translation

To find the vertical translation, we subtract the $y$-coordinate of $C$ from the $y$-coordinate of $C'$. So, $y_{C'}-y_{C}=-7-(-1)= - 6$. Since we need non - negative numbers for the problem's requirements, we take the absolute value. The number of units is 6 and it is a translation down.

Answer:

A translation by 3 units to the right and 6 units down.