Question

Graph CD with endpoints C(-8, 2) and D(-5, 6) and its image after the composition

Answer 1

Step 1:

Original endpoints C(-8, 2) and D(-5, 6)

Step 2:

First translation

$\begin{gathered} Translate\text{ by (x + 1, y - 3)} \\ C(-8,\text{ 2) }\rightarrow\text{ C'(-7, -1)} \\ D(-5,\text{ 6) }\rightarrow\text{ D'(-4, 3)} \end{gathered}$

Step 3:

Second translation

$\begin{gathered} (x\text{ + 2, y + 1)} \\ C^{\prime}(-7,\text{ -1) }\rightarrow\text{ C''(-5, 0)} \\ D^{\prime}(-4,\text{ 3) }\rightarrow\text{ D''(-2, 4)} \end{gathered}$

Final answer

Coordinates of the image

C(-5 , 0) and D(-2 , 4)