Question

Help me solve this problem! Thank you! Only answer if you know how

Answer 1

If n is at x = 4, then we can rewrite the transformation notation as:

$(D_2\circ R_{x=4})(\Delta ABC)$

This transformation notation is read as a reflection across the line x = 4 and dilation of a scale factor of 2.

To determine the graph of the image, let's do the reflection across the line x = 4 first.

Basically, the image will be on the opposite side of the line but at the same distance from the line. See the illustration below.

Now, let's apply dilation of a scale factor of 2 on the reflection by multiplying its coordinates by 2.

A' (1, 5) → (2, 10)

B' (0, 1) → (0, 2)

C' (3, 0) → (6, 0)

Let's plot these new coordinates to the graph.

The graph of the image after the given series of transformations is shown above by the black triangle.