Question

What is the location of the image of P(-8, 1) after a counterclockwise rotation of 90° about the origin?

O (1, -8)
O (-8,-1)
O (-1,8)
O (8, -1)

Answer 1

(-1, -8)

Explanation:

You want the image of P(-8, 1) after rotation 90° counterclockwise about the origin.

Rotation

The transformation for 90° CCW is ...

(x, y) ⇒ (-y, x)

Then

P(-8, 1) ⇒ P'(-1, -8)

__

Additional comment

We observe that this answer is not among the choices listed in this problem statement. We suspect a typo somewhere. The transformations represented by the given choices are ...

A: reflection across the x-axis and rotation 90° CCW

B: reflection across the x-axis

C: reflection across the x-axis and rotation 90° CW

D: reflection across the origin

These are shown in the second attachment.