Composition of Linear Transformations

Name the parent function. 

• constant

• quadratic

• linear

• exponential

Under what composition of transformations does triangle ABC map onto triangle A''B''C''

• Reflection over x-axis, then Rotation of 90 Degrees

• Rotation of -90 Degrees, then Reflection over y-axis

• Reflection over y-axis, then Rotation of -90 Degrees

• Rotation of 90 Degrees, then Reflection over x-axis

If the red triangle is rotated 180 degrees, then reflected over y=2 what is the final image?

• Green Triangle

• Blue Triangle

• Orange Triangle

• Red Triangle

What is the transformation from Triangle ABC to Triangle A''B''C''?

• Reflection x-axis, then rotation of 180 Degrees

• Reflection over y-axis, then rotation of 90 Degrees

• Rotation of 90 Degrees, then reflection over x-axis

• Rotation of 180 Degrees, then reflection over y-axis

Name the series of transformations that maps ABC onto DEF

• reflect over x then translate left 6 up 1

• reflect over y then translate down 6 left 1

• translate right 6 down 1, then reflect over x

• rotate 90 clockwise then reflect over y

What is the rule for the dilation pictured below?

• (x, y) → (½x, ½y)

• (x, y) → (x + 2, y + 2)

• (x, y) → (2x , 2y)

• (x, y) → (2x, 3y)

Which of these segments could be an image of segment AB after a sequence of transformations? Check all that apply.

• CD

• GH

• JK

• LM

• NP

What are the coordinates of point A' , the image of point A(-4, 1)  after the composite transformation R₉₀ o r_y=x  where the origin is the center of rotation?

• (-1, -4)

• (-4, -1)

• (1, 4)

• (4, 1)

Find the image of A( -3, 5) after translating (x,y) --> (x , y-4) then reflecting across the y-axis

• (3,1)

• (3, -1)

• (-1, 5)

• (-1, 3)

Describe the transformations that map ABC onto A"B"C"

• translate 5 up and 1 left then reflect over y

• translate 5 down and 1 left, then reflect over y

• reflect over y=x then translate left 8

• reflect over x then rotate 90 clockwise