Graph △XYZ with vertices X(2, 3), Y(−3, 2), and Z(−4,−3) and its image after the translation (x, y)→(x+3, y−1)
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What is the coordinates for Triangle XYZ after the translation?

Please show all the work on how you got your answer,

Step-by-step explanation:

The translation increases each x-coordinate by 3, moving the point 3 units to the right. It decreases each y-coordinate by 1, moving the point 1 unit down.

  (x, y) ⇒ (x+3, y-1)

  X(2, 3) ⇒ X'(5, 2)

  Y(-3, 2) ⇒ Y'(0, 1)

  Z(-4, -3) ⇒ Z'(-1, -4)

The red arrows show the translation of each point in the graph.

the sum of all the angles in a triangle are equal to 180

so you can add   the 3 given angles together to equal 180:

5y + 2y + 2y = 180

or since all three angles have the same letter, combine the 3 angles to equal 180:

9y = 180