Question

50 POINTS! Reflect quadrilateral PQRS about the y-axis. Then translate the resulting quadrilateral 2 units down.


What are the coordinates of the vertices of the final image?
A.)P’(12, -6), Q’(8, -7), R’(4, -4), and S‘(7, -1)

B.)P’(12, 8), Q’(8, 9), R’(4, 6), and S‘(7, 3)

C.)P’(-12, 6), Q’(-8, 7), R’(-4, 4), and S‘(-7, 1)

D.)P’(12, 6), Q’(8, 7), R’(4, 4), and S’(7, 1)

Answer 1

Answer:

  D.)  P’(12, 6), Q’(8, 7), R’(4, 4), and S’(7, 1)

Step-by-step explanation:

Reflection over the y-axis changes the sign of the x-coordinate:

  (x, y) ⇒ (-x, y) . . . . . reflection over the y-axis

Translation 2 units down, subtracts 2 from the y-coordinate:

  (x, y) ⇒ (x, y -2) . . . . . translation 2 units down

__

The combined transformation is ...

  (x, y) ⇒ (-x, y -2) . . . . . reflection over y-axis and translation 2 down

For point P, the image coordinates are ...

  P(-12, 8) ⇒ P'(-(-12), 8 -2) = P'(12, 6) . . . . matches choice D

Answer 2

Answer:

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Step-by-step explanation:

i have no idea how to spell that but o well