Question

Find the resulting point when you transform (2, -5) according to the rule (x, y) ↦ (-x, 3y).

a. (-2, -15)
b. (-2, 15)
c. (2, -15)
d. (2, 15)

Answer 1

The transformation rule (x, y) ↦ (-x, 3y) changes the point (2, -5) into (-2, -15), by negating the x-coordinate and tripling the y-coordinate.

Step-by-step explanation:

When you apply the transformation rule (x, y) ↪ (-x, 3y) to the point (2, -5), you simply negate the x-coordinate and multiply the y-coordinate by 3. For the point (2, -5), the transformed x-coordinate is -2 and the transformed y-coordinate is -5 multiplied by 3, which gives -15. Therefore, the resulting point after the transformation is (-2, -15).