Question

translating a shape 3 units up and 4 units to the right changes its position by: a. $(x + 3,y + 4)$ b. $(x + 4,y + 3)$ c. $(x - 3,y - 4)$ d. $(x - 4,y + 3)$

Explanation:

Step1: Recall translation rules

In a coordinate - plane, moving a point (x, y) to the right means adding to the x - coordinate and moving it up means adding to the y - coordinate.

Step2: Analyze the given translation

We are moving 3 units up and 4 units to the right. Moving 4 units to the right changes the x - coordinate from x to x + 4, and moving 3 units up changes the y - coordinate from y to y + 3. So the new coordinates of the point (x, y) after translation are (x + 4, y + 3).

Answer:

B. $(x + 4,y + 3)$