Combined Transformations (RETAKE)

Which rule shows a reflection over y=x and a 180^o rotation?

• (x, y)→(y, x)

• (x, y)→(-y, -x)

• (x, y)→(-x, -y)

• (x, y)→(y, -x)

Which rule shows a translation up 2, then a reflection over the x-axis? *Order matters*

• (x, y)→(-x,y+2)

• (x, y)→(x,-y-2)

• (x, y)→(x,-y+2)

• (x, y)→(x+2,-y)

Given: A(-5,-1) and L(-3, -2).

First translate 6 units right.

Then reflect the image over the y-axis.

What are the coordinates for A''L''?

• A''(1, 1) L''(3, 2)

• A''(11, -1) L''(-9, -2)

• A''(5, 5) L''(3, 4)

• A''(-1, -1) L''(-3, -2)

Where does point A(-6,7) go after a reflection over the x-axis and rotation 90^o CCW about the origin?

• A' (7, -6)

• A' (6, 7)

• A' (-6, -7)

• A' (-7, 6)

M(-5,6). Apply the following rule to find M':

(x,y)-->(-x+3,y-2)

• M' (-2, 8)

• M' (8, -8)

• M' (8, 4)

• M' (-2, 4)

M(-5, 6). Apply the following rule to find M':

(x,y)-->(y-1, -x)

• M' (-6, -6)

• M' (-4, -6)

• M' (5, 5)

• M' (5, -5)

Transform A in the following ways:

T = translation right 2, down 3

F = reflection over the line y = 3

Determine which shape is A'

• I

• II

• III

• IV

Transform A in the following ways:

R = reflection over the line y = x

T = translation right 3, up 1

Determine which shape is A'

• P

• Q

• R

• S

If a figure is translated down 2 units and right 3 units, what would you need to do to get it back in its original position?

• Translate it to the left 3 units and up 2 units

• Translate it down 2 units and to the right 3 units

• Reflect it over the x-axis

• Rotate it 180^o

What does the rule  $f\left(x,y\right)=\left(x-6,-y\right)$  tell you to do? 

• Translate right 6 & reflect over the y-axis

• Translate left 6 & reflect over the x-axis

• Translate right 6 & reflect over the x-axis

• Translate left 6 & reflect over the y-axis