Question

type the coordinates of the images P ' Q ' R ' for each of the following points under the translation defined by (x, y) -------> (x + 3, y - 4). a. P(0, 0)--->P' _______ [type an ordered pair]b. Q(-1, 2)--->Q ' _______ (type an ordered pair)c. R(-7, -4) --->R ' _______ [type an ordered pair]

Answer 1

It is given that the translation i s (x+3,y-4) so it follows:

$P(0,0)\Rightarrow P^{\prime}(0+3,0-4)=P^{\prime}(3,-4)$

Similarly for the points Q and R, it follows:

$\begin{gathered} Q(-1,2)\Rightarrow Q^{\prime}(-1+3,2-4)=Q^{\prime}(2,-2) \\ R(-7,-4)\Rightarrow R^{\prime}(-7+3,-4-4)=R^{\prime}(-4,-8) \end{gathered}$