Question

1. after performing the translation described below, what will be the coordinate of point r? translation (x, y)→(x + 5, y - 1) (-4, 2) r: ____________

Explanation:

Step1: Identify the original coordinates

The original coordinates of point R are $x=-4$ and $y = 2$.

Step2: Apply the x - coordinate translation

For the x - coordinate, use the rule $x\to x + 5$. Substitute $x=-4$ into it: $x'=-4 + 5=1$.

Step3: Apply the y - coordinate translation

For the y - coordinate, use the rule $y\to y-1$. Substitute $y = 2$ into it: $y'=2-1 = 1$.

Answer:

$(1,1)$