Transformations math

What image do you get when you reflect object (x,y) in the y Axis?

(-x,y)

What image do you get when you reflect object (x,y) in the x Axis?

(x,-y)

What image do you get when you reflect object (x,y) under y = x?

(y,x)

What image do you get when you reflect object (x,y) under y = -x?

(-y,-x)

What happens to (x,y) when rotated 90° anticlockwise about origin?

(-y,x)

What happens to (x,y) when rotated 90° clockwise about origin?

(y,-x)

What happens to (x,y) when it goes under a 180° rotation around the origin?

(y,-x)

What happens to (x,y) when it is rotated 270° anticlockwise about origin?

(y,-x)

What happens to (x,y) when it is rotated 270° clockwise about origin?

(-y,x)

How do you rotate a point around another point?

Step 1: Translate so the center of rotation moves to the origin. Step 2: Apply the standard rotation formula (90°, 180°, 270°). Step 3: Translate back by adding the center’s coordinates.

How do you rotate equations?

Replace x with (x-a) and y with (y-b) where (a,b) is the center of roatation, apply the rotation rule, and replace x with with (x+a) and y with (y+b)