Question

Triangle QRS has vertices Q(−2, 2) , R(−3, −4) , and S(1, −2) . Write the coordinate notation for a translation of 2 units left and 3 units up.

Answer 1

Q(-4,5), R(-5,-1) and S(-1,1)

Explanation:

We have a translation of 2 units to the left and 3 units to the right. First, let's figure out what do those translations mean:

• Translations left or right mean a change in the x-coordinate (first number) *Going left will decrease the x-value, going right will increase it.

• Translations up or down mean a change in the y-coordinate. (second number) *Going up will increase the y-value, while going down will decrease it.

These two translations apply to ALL vertices. Since the translation is 2 units left and 3 units up, we increase the y-value for each vertice by 3 and decrease the x-value by 2.

Let's solve:

Q(-2,2) → Q(-4,5)

R(-3,-4) → (-5, -1)

S(1,-2) → (-1,1)

Hopefully this helped!