Question

triangle efg has vertices e(-3, 4), f(-5, -1), and g(1, 1). the triangle is translated so that the coordinates of the image are e(-1, 0), f(-3, -5), and g(3, -3). which rule was used to translate the image? t_{-4, -4}(x, y) t_{4, -4}(x, y) t_{2, -4}(x, y) t_{-2, -4}(x, y)

Explanation:

Step1: Analyze x - coordinate change

For point E: $-1-(-3)=2$. For point F: $-3 - (-5)=2$. For point G: $3 - 1=2$. The change in the x - coordinate for all vertices is 2.

Step2: Analyze y - coordinate change

For point E: $0 - 4=-4$. For point F: $-5-(-1)= - 4$. For point G: $-3 - 1=-4$. The change in the y - coordinate for all vertices is - 4.

Answer:

$T_{2,-4}(x,y)$