Question

Joshua uses the escalator in the shopping mall to get to the ground floor from the underground garage located at (12,-5). Which of the following coordinates correspond to the location of the ground floor when undergoing a translation of 8 steps to the left and 10 steps upwards?

Answer 1

Answer:

(4,5)

Step-by-step explanation:

Initial location of Joshua in the shopping mall is expressed according to the coordinate (12, -5)

If he undergoes a translation of 8 steps to the left and 10 steps upwards, this means that he moves 8 steps towards the negative x axis and 10 steps towards the positive y axis. The new coordinate will be gotten by adding the translation (-8, 10) to the initial coordinate as shown

New position = (12, -5) + (-8,10)

New position = (12-8, -5+10)

New position = (4, 5)

Hence the coordinates that corresponds to the location of the ground floor when undergoing a translation of 8 steps to the left and 10 steps upwards will be (4,5)