Question

Rectangle DEFG with vertices D(-2, 7), E(2, 3), F(0, 1), and G(-4, 5):
a) translation along the rule (x,y) → (x+6, y-8)
b) reflection in the y-axis

D'(_, _)
E'(_, _)
F'(_, _)
G'(_, _)

Answer 1

Answer:

D' (-4, -1)

E' (-8, -5)

F' (-6, -7)

G' (-2, -3)

Step-by-step explanation:

To solve this each point would go under this:

(x, y) --> (-1(x + 6), y - 8)

the x + 6 and y - 8 are the transformation. The -1 multiplied by x represents the reflection over the y-axis

D --> D':

(-2, 3) --> (-4, -1)

E -- E':

(2, 3) --> (-8, 5)

F --> F':

(0, 1) --> (-6, -7)

G --> G':

(-4, 5) --> (-2, -3)