Question

Use the translation (x, y) → (x−8, y+4) to answer the question. What is the preimage of C′(−3,−10)?

Answer 1

To find the preimage of C′(−3,−10), add 8 to the x-coordinate and subtract 4 from the y-coordinate, resulting in the preimage C(5, −6).

Step-by-step explanation:

To find the preimage of the point C′(−3,−10) using the translation (x, y) → (x−8, y+4), you have to reverse the translation process. To do this, you add 8 to the x-coordinate and subtract 4 from the y-coordinate of C′.

The preimage, C, would then be calculated as follows:

• Cx = C′x + 8 = −3 + 8 = 5
• Cy = C′y − 4 = −10 − 4 = −6

Therefore, the preimage of C′(−3,−10) is C(5, −6).