Question

if you are given a point A(4,1) and it is then translated A' (8,-3), what translation occurred

Answer 1

Answer:

4 units to the right and 4 units down.

Explanation:

Given the pre-image point A(4,1)

The translation from A to A' is shown below:

$\begin{gathered} A\mleft(4,1\mright)\rightarrow A^{\prime}(4+x,1+y)=A^{\prime}\mleft(8,-3\mright) \\ 4+x=8 \\ x=8-4=4 \\ \text{Also: 1+y=-3} \\ y=-3-1=-4 \\ x=4,y=-4 \end{gathered}$

• Since ,4 is added to the unit on the ,x-axis, we say it is translated 4 units to the right.

,

• Since ,4 is subtracted to the unit on the y-axis,, we say ,it is translated 4 units down.

We conclude that point A is translated 4 units to the right and 4 units down.