Question

2.

Consider the following graph and rotate point P 90° counterclockwise
around two points: the origin and (-2,4). Sketch both points on the
graph.

Answer 1

`P: (-2,4)`

`P' : (-4,-2)`

Explanation:

Given

`P: (-2,4)`

Required

Rotate 90 degrees counterclockwise

Show both points on graph

`P: (-2,4)`

When a point is rotated counterclockwise by 90 degrees, the new point is:

`P':(-y,x)`

In

`P: (-2,4)`

`x = -2`

`y = 4`

Hence:

`P':(-y,x)`

`P' : (-4,-2)`

See attachment for graph