Question

question 1 (3 points)
choose the algebraic description that maps the image δabc onto δabc.
graph of coordinate plane with triangle abc and triangle abc
options:

• (x,y) → (x,y - 1)
• (x,y) → (x - 1,y)
• (x,y) → (x + 1,y)
• (x,y) → (x,y + 1)

Explanation:

Step1: Identify coordinates of points

Coordinates:
$A(-5,1)$, $A'(-6,1)$
$B(-2,3)$, $B'(-3,3)$
$C(-2,-3)$, $C'(-3,-3)$

Step2: Compare x,y values of pairs

For $A$ to $A'$: $x: -5 \to -6 = -5 -1$, $y:1=1$
For $B$ to $B'$: $x: -2 \to -3 = -2 -1$, $y:3=3$
For $C$ to $C'$: $x: -2 \to -3 = -2 -1$, $y:-3=-3$

Step3: Generalize the mapping

Each $(x,y)$ maps to $(x-1, y)$

Answer:

$(x,y) \to (x - 1,y)$