Question

In the diagram attached, ΔABC has coordinates A(1,1), B(4,1), and C(4,5).

Given the function rule
f(x, y) → (x − 5, −y − 2)

Describe the transformation as completely as possible.

The diagram is attached-- Thanks in advance!

(No this is not homework, I was using a study guide I found online to study for a test.)

Answer 1

Explanation:

ΔABC has the vertices as A(1, 1), B(4, 1) and C(4, 5).

Rule for the transformation has been given as,

f(x, y) → (x - 5, -y - 2)

By this rule vertices of the transformed image will be,

A(1, 1) → A'(1 - 5, -1 - 2)

→ A'(-4, -3)

B(4, 1) → B'(4 - 5, -1 - 2)

→ B'(-1, -3)

C(4, 5) → C'(4 - 5, -5 - 2)

→ C'(-1, -7)