Question

The teacher places poster 8 on the plan by translating the location of poster 3 left 10 inches and down 50 inches. which rule shows the effect of the translation on the original coordinates of the location of poster 3?

a) (x, y)→(x + 50, y - 10)
b) (x, y)→(x - 50, y - 10)
c) (x, y)→(x + 10, y - 50)
d) (x, y)→(x - 10, y - 50)

Answer 1

The rule that correctly describes the translation of the coordinates after moving the poster left by 10 inches and down by 50 inches is (x, y)→(x - 10, y - 50).

Step-by-step explanation:

When a teacher translates the location of a poster in the coordinate system, the translation can be described using a specific set of instructions. Since the poster 3 is being moved left 10 inches and down 50 inches, we need to adjust its original coordinates accordingly. Moving left corresponds to subtracting from the x-coordinate (horizontally to the left side of the coordinate system) while moving down corresponds to subtracting from the y-coordinate (vertically downward in the coordinate system).

The correct translation rule that shows the effect on the original coordinates (x, y) is thus:
(x, y)→(x - 10, y - 50)
This rule signifies that for every point on poster 3, we must subtract 10 from the x-coordinate and 50 from the y-coordinate to find the new location of poster 8.