Question

what is the image of the point (-3,-1) under the translation that shifts (x,y) to (x - 2,y + 4)?
(-1,-5)
(-5,3)
(-5,-5)
(-1,3)

Explanation:

Step1: Calculate the new x - coordinate

For the x - coordinate, use the rule \(x\to x - 2\). Given \(x=-3\), then \(x'=-3-2=-5\).

Step2: Calculate the new y - coordinate

For the y - coordinate, use the rule \(y\to y + 4\). Given \(y = - 1\), then \(y'=-1 + 4=3\).

Answer:

\((-5,3)\) (the second option)