Chapter 2 Transformations

When a dilation has a scale factor greater than one, the dilation is an enlargement.

• True

• False

A triangle has vertices A(0,0), B(8,0), C(3,-2). Find the coordinates of the triangle after a dilation with a scale factor of  4. The dilation is (X,Y) --- (4x,4y)

• A(3,3), B(4,4), C(-3,-4)

• A(-4,8), B(6.5,8), C(7,7)

• A(0,0), B(32,0), C(12,-8)

How many degrees was the figure rotated?

• 90 degrees counterclockwise

• 180 degrees

• 90 degrees clockwise

Tell whether the two figures are congruent.

• Yes, same size and same shape

• No, same shape but different sizes

• No, different size and different shapes

What type of transformation occurred? 

• Horizontal Translation

• Vertical Translation

• Vertical Stretch

• Vertical Compression 

What type of transformation occurred? 

• Horizontal Translation

• Vertical Translation

• Vertical Stretch

• Vertical Compression 

The function f(x) = 1/x is transformed to the following function. Which of the following describes the transformation?

• vertically compressed by a factor of 5
  horizontal shift right 2 units
  vertical shift up 7 units

• vertically stretched by a factor of 5
  horizontal shift left 2 units
  vertical shift up 7 units

• vertically stretched by a factor of 5
  horizontal shift right 2 units
  vertical shift up 7 units

• vertically stretched by a factor of 5
  horizontal shift right 7 units
  vertical shift down 2 units

The function f(x) = 1/x is transformed to the following function. Which of the following describes the transformation?

• Vertical translation right 4 units and horizontal translation down 3 units.

• Vertical translation left 4 units and horizontal translation down 3 units.

• Vertical translation left 4 units and horizontal translation up 3 units.

• Vertical translation right 4 units and horizontal translation up 3 units.

The function f(x) = (x)³ is transformed to g(x) = -(x )³ + 2 . Which of the following describes the transformation? 

• Reflected across x-axis
  Horizontal translation 2 unit up

• Reflected across x-axis
  Horizontal translation 2 unit down

• Reflected across x-axis
  Horizontal translation 2 unit left

• Reflected across x-axis
  Horizontal translation 2 unit right

What type of transformation occurred? 

• Horizontal Translation

• Vertical Translation

• Vertical Stretch

• Vertical Compression