Question

the table shows the coordinates of figure efgh and its image.
efgh efgh
e(-3,4) e(1,4)
f(-1,4) f(3,4)
g(-1,1) g(3,1)
h(-3,2) h(1,2)
which single transformation maps figure efgh onto its image?
reflect across the y - axis.
rotate 90° counterclockwise around the origin.
translate 4 units to the right.

Explanation:

Step1: Analyze x - coordinate change

For point E, x - coordinate changes from - 3 to 1. The change is \(1-(-3)=4\). For point F, x - coordinate changes from - 1 to 3, and the change is \(3 - (-1)=4\). For point G, x - coordinate changes from - 1 to 3, change is \(3-(-1)=4\). For point H, x - coordinate changes from - 3 to 1, change is \(1-(-3)=4\).

Step2: Analyze y - coordinate change

The y - coordinates of all points remain the same. For E, y = 4 in both E and E'. For F, y = 4 in both F and F'. For G, y = 1 in both G and G'. For H, y = 2 in both H and H'.

Answer:

Translate 4 units to the right.