Question

A) Graph ∆XYZ if X(1, 3), Y(3, 1), Z(4, 6)

b) rotate 180°
c) translate (x, y) → (x + 5, y + 1)

Answer 1

The graph of the transformation of XYZ is added as an attachment

How to determine the image of the transformation

From the question, we have the following parameters that can be used in our computation:

X(1, 3), Y(3, 1), Z(4, 6)

First, we graph the triangle XYZ

This is the given figure in the question

Next, we rotate the coordinates by 180 degrees

This means that we negate the x and y coordinates

So, we have

X'(-1, -3), Y'(-3, -1), Z'(-4, -6)

Lastly, we translate by (x + 5, y + 1)

So, we have

X''(4, -2), Y'(2, 0), Z'(1, -5)

The graph of the transformation is added as an attachment