Question

question 1 (3 points)
choose the algebraic description that maps δabc onto δabc in the given figure.
a) (x, y) → (x, y + 6)
b) (x, y) → (x, y - 6)
c) (x, y) → (x + 6, y)
d) (x, y) → (x - 6, y)

Explanation:

Step1: Identify a vertex coordinate

Take point $A$: let its coordinate be $(4, 5)$, and $A'$ is $(-2, 5)$.

Step2: Calculate x-change

Find difference in x-values: $-2 - 4 = -6$.

Step3: Calculate y-change

Find difference in y-values: $5 - 5 = 0$.

Step4: Match to transformation

The transformation is $(x, y) \to (x-6, y)$.

Answer:

D) $(x, y) \to (x - 6, y)$