Question

finding coordinates of an image
triangle qrs has vertices q(8, -6), r(10, 5), and s(-3, 3). what are the coordinates of the vertices of the image of the triangle after a translation of t_-7.6, 4.3(x, y)?
q
(0.4, -1.7)
r
x (1.4, -2.3)
s
(12.6, -13.3)
(15.4, -10.7)

Explanation:

Step1: Apply translation to Q

For point Q(8, - 6), add - 7.6 to x - coordinate and 4.3 to y - coordinate.
$x_Q'=8+( - 7.6)=0.4$, $y_Q'=-6 + 4.3=-1.7$

Step2: Apply translation to R

For point R(10, 5), add - 7.6 to x - coordinate and 4.3 to y - coordinate.
$x_R'=10+( - 7.6)=2.4$, $y_R'=5 + 4.3 = 9.3$

Step3: Apply translation to S

For point S(-3, 3), add - 7.6 to x - coordinate and 4.3 to y - coordinate.
$x_S'=-3+( - 7.6)=-10.6$, $y_S'=3 + 4.3 = 7.3$

Answer:

Q'(0.4, - 1.7), R'(2.4, 9.3), S'(-10.6, 7.3)