Reflect across the x-axis and then rotate -90 degrees around the origin

Rotate -90 degrees around the origin and then translate down.

Reflect across the x-axis and then reflect across the y-axis.

Translate up and then rotate 90 degrees about the origin.

Rotations

Translations

Reflections

All Three

$$\left(x,y\right)\rightarrow\left(3x,y\right)\rightarrow\left(x+5,y-8\right)\rightarrow\left(-x,y\right)$$

$$\left(x,y\right)\rightarrow\left(-x,-y\right)\rightarrow\left(x-3,y+8\right)\rightarrow\left(-x,y\right)$$

$$\left(x,y\right)\rightarrow\left(-y,x\right)\rightarrow\left(-2x,2y\right)\rightarrow\left(-x,y\right)$$

$$\left(x,y\right)\rightarrow\left(\frac{1}{2}x,y\right)\rightarrow\left(x+5,y-8\right)$$

A 90° counter-clockwise rotation, then a translation.

A reflection across the y-axis, then a reflection across the x-axis.

A translation, then a reflection across the y-axis.

A translation, then a reflection across the x-axis.

A rotation, then a translation.

A translation, then a rotation.

A translation, then a reflection.

A rotation, then a reflection.

(-4, 2)

(4, -2)

(-4, -2)

(2, -4)

$$P'\left(-7,\ 6\right)$$  

$$P'\left(-7,\ -6\right)$$  

$$P'\left(6,\ -7\right)$$  

$$P'\left(6,\ 7\right)$$  

(–5, 8)

(–3, –8)

(5, –8)

(3, 8)

reflection over the x-axis then rotation of $$90\degree$$ counterclockwise

reflection over the y-axis then rotation ofundefined counterclockwise

translation of 2 units to the right then rotation ofundefinedclockwise

rotation of $$180\degree$$  counterclockwise

reflect over the x-axis, then rotate 90

reflect over the y-axis, then translate

rotate 90, then translate

reflect over the x-axis, then translate

rotate 90 cw

translate: 4 units right and 5 units down

reflect over x-axis

rotate 270 cw

reflect over y-axis

(5x, 5y)

(3x, 3y)

(1/3 x, 1/3 y)

(2x, 2y)

It's a reduction; the scale factor is 2.

It's an enlargement; the scale factor is 2.

It's an enlargement; the scale factor is 1/2.

It's a reduction; the scale factor is 1/2.

(5,3), (6,2), (1,-2)

(6,0), (9,-3), (-6,-15)

(2/3,0), (1,-1/3), (-2/3,-5/3)

(-1,-3), (0,-4), (-5,-8)

A'(9,9) B'(18,18) C'(27,9)

A'(6,6) B'(9,9) C'(12,6)

A'(0,0) B'(3,3) C'(6,0)

A'(1,1) B'(2,2) C'(3,1)