Triangle XYZ is rotated 90° counterclockwise about the origin to produce X'Y'Z'. What are the coordinates of X'Y'Z'?

Given :

Triangle XYZ is rotated 90° counterclockwise about the origin to produce X'Y'Z'.

To Find :

What are the coordinates of X'Y'Z .

Solution :

Let , the points are .

When any point ( h , k ) is rotated 90° counterclockwise about the origin the new point produced is ( -k , h).

So , applying same concept in XYZ :

.

Therefore , transformed points are .

Hence , this is the required solution .

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8