Question

What are the coordinates of X′ for the image of △TUX after dilation with center at (0, 0) and scale factor 4, then applying (x, y) ⟶ (x − 3, y + 1), given T(−7, −6), U(−8, 3), X(2, 1)?

Answer 1

Answer: (5,5)

Reason:

The point X is located at (2,1)

We'll apply the scale factor to quadruple each coordinate to get (8,4)

Then apply the translation rule to shift 3 units left and 1 unit up.

`(\text{x},\text{y})\to(\text{x}-3,\text{y}+1)\\\\(8,4)\to(8-3,4+1)\\\\(8,4)\to(5,5)\\\\`