Question

(x, y) → (x, -y)
d (x, y) → (x, y - 2)

8.10c (m)

1. if candice rotated triangle abc 90° coun-

be-
a (6, -5)
b (-6, 5)
c (5, -6)
d (-5, -6)

8.10c (m)

1. marcie drew a translation of figure abcd, as shown in the diagram below.

which algebraic representation would marcie have used to determine the coordinates
for figure abcd?
a (x, y) → (-x, y)
b (x, y) → (x - 4, y)
c (x, y) → (x - 8, y)
d (x, y) → (x - 8, y - 8)

Explanation:

Step1: Pick a reference point

Choose point $A$: original $A=(2,6)$, translated $A'=(-2,6)$

Step2: Calculate horizontal change

$\Delta x = -2 - 2 = -4$

Step3: Calculate vertical change

$\Delta y = 6 - 6 = 0$

Step4: Define translation rule

$(x,y) \to (x+\Delta x, y+\Delta y) = (x-4, y)$

Answer:

B. $(x, y) \longrightarrow (x - 4, y)$