Unit 2 Review

Which of the following describes the image of a figure translated by the function:

(x, y) → (x - 7, y)

• The image is 7 units to the right of the pre-image.

• The image is 7 units to the left of the pre-image.

• The image is 7 units above of the pre-image.

• The image is 7 units below of the pre-image.

Which of the following describes the image of a figure translated by the function:

(x, y) → (x + 1, y)

• The image is 1 unit to the right of the pre-image.

• The image is 1 unit to the left of the pre-image.

• The image is 1 unit above of the pre-image.

• The image is 1 unit below of the pre-image.

Which of the following describes the image of a figure translated by the function:

(x, y) → (x, y - 9)

• The image is 9 units to the right of the pre-image.

• The image is 9 units to the left of the pre-image.

• The image is 9 units above of the pre-image.

• The image is 9 units below of the pre-image.

Which of the following describes the image of a figure translated by the function:

(x, y) → (x, y + 4)

• The image is 4 units to the right of the pre-image.

• The image is 4 units to the left of the pre-image.

• The image is 4 units above of the pre-image.

• The image is 4 units below of the pre-image.

Identify the transformation from ABC to A'B'C'.

• (x, y) → (x + 8, y + 4)

• (x, y) → (x - 8, y - 4)

• (x, y) → (x + 4, y + 8)

• (x, y) → (x - 4, y - 8)

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

• (x, y) → (x + 5, y - 5)

• (x, y) → (x + 1, y - 5)

• (x, y) → (x + 5, y - 8)

• (x, y) → (x + 4, y - 5)

In a figure, a rectangle in the coordinate plane undergoes a transformation: (x, y) → (2x, y).

If the coordinates of the rectangle are: A(1,2), B(1, 5), C(3, 2), D(3, 5), what are the coordinates of the image?

• A'(2, 4), B'(2, 10), C'(6, 4), D'(6, 10)

• A'(3, 2), B'(3, 5), C'(5, 2), D'(5, 5)

• A'(1, 4), B'(1, 10), C'(3, 4), D'(3, 10)

• A'(2, 2), B'(2, 5), C'(6, 2), D'(6, 5)

In a figure, a rectangle in the coordinate plane undergoes a transformation: (x, y) → (x, 2y).

If the coordinates of the rectangle are: A(1,2), B(1, 5), C(3, 2), D(3, 5), what are the coordinates of the image?

• A'(2, 4), B'(2, 10), C'(6, 4), D'(6, 10)

• A'(1, 4), B'(1, 7), C'(3, 4), D'(3, 7)

• A'(1, 4), B'(1, 10), C'(3, 4), D'(3, 10)

• A'(2, 2), B'(2, 5), C'(6, 2), D'(6, 5)

Which answer shows a reflection across the y-axis?

• a
• b
• c
• d

Which answer shows a reflection across the x-axis?

• d
• c
• b
• a