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? o t_{4, -4}(x, y) o t_{-4, -4}(x, y) o t_{2, -4}(x, y) o t_{-2, -4}(x, y)

Explanation:

Step1: Find change in x - coordinate

For point E, initial x - coordinate is $x_1=-3$ and final x - coordinate is $x_2 = - 1$. The change in x - coordinate $\Delta x=x_2 - x_1=-1-(-3)=2$.

Step2: Find change in y - coordinate

For point E, initial y - coordinate is $y_1 = 4$ and final y - coordinate is $y_2=0$. The change in y - coordinate $\Delta y=y_2 - y_1=0 - 4=-4$.

Answer:

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