Question

A taxicab starts at (1, −2) on the grid and picks up a passenger. The taxicab travels a total of 16 blocks, and then drops the passenger off. Which composition of two translations could describe the taxicab’s final position?

Answer 1

The composition of two translations could describe the taxicab’s final position are (1, -2 + 16) and (1, -2 - 16)

How to determine the composition of two translations?

The initial position is given as:

Cab = (1, -2)

Assume the cab travel in one direction, the possible translations are:

(x, y + 16)

(x, y - 16)

(x  + 16, y)

(x  - 16, y)

Using the first two translations, the final positions are:

(1, -2 + 16) = (1, 14)

(1, -2 - 16) = (1, -18)

Hence, the composition of two translations could describe the taxicab’s final position are (1, -2 + 16) and (1, -2 - 16)

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