Question

question 18 (5 points) listen choose the algebraic description that maps δabc onto δabc in the given figure. a) (x, y) → (x + 4, y + 8) b) (x, y) → (x - 4, y - 8) c) (x, y) → (x + 8, y + 4) d) (x, y) → (x + -8, y - 4)

Explanation:

Step1: Identify coordinates of point A

Original $A: (-6, -2)$; Image $A': (-2, 6)$

Step2: Calculate x-direction shift

$\Delta x = -2 - (-6) = 4$

Step3: Calculate y-direction shift

$\Delta y = 6 - (-2) = 8$

Step4: Verify with point B

Original $B: (-8, -4)$; Image $B': (-4, 4)$
$(-8+4, -4+8)=(-4,4)$, matches $B'$

Step5: Verify with point C

Original $C: (-4, -3)$; Image $C': (0, 5)$
$(-4+4, -3+8)=(0,5)$, matches $C'$

Answer:

A) $(x, y) \to (x + 4, y + 8)$