Question

problem 4b
point b has coordinates (-3, 2).
what are the coordinates of the image of point b after a translation 2 units right, then a reflection across the y - axis?

Explanation:

Step1: Perform the translation

For a translation 2 units right, we add 2 to the x - coordinate of the point. The original point B has coordinates (-3, 2). After translation 2 units right, the new x - coordinate is $x=-3 + 2=-1$, and the y - coordinate remains the same. So the point after translation is (-1, 2).

Step2: Perform the reflection across the y - axis

The rule for reflecting a point $(x,y)$ across the y - axis is $(-x,y)$. For the point (-1, 2), when we reflect it across the y - axis, the new x - coordinate is $x = -(-1)=1$, and the y - coordinate remains 2. So the final point is (1, 2).

Answer:

(1, 2)