Representing and comparing transformations

What is the algebraic representation for the transformation shown?

• (x, y) ---> (x - 8, y + 3)

• (x, y) ---> (x + 8, y - 3)

• (x, y) ---> (x + 4, y - 9)

Triangle A’B’C’ is the dilation of triangle ABC.

Which algebraic representation shows this dilation?

• (x, y) --> (2x, 2y)

• (x, y) --> (1/3x, 1/3y)

• (x, y) --> (3x, 3y)

• (x, y) --> (x + 3, y - 3)

• reflected
• x-axis
• 3
• right

The line whose equation is 3x – 5y = 4 is dilated by a scale factor of 5/3 centered at the origin. Which statement is correct?

• The image of the line has the same slope as the pre-image but a different y-intercept.

• The image of the line has the same y-intercept as the pre-image but a different slope.

• The image of the line has the same slope and the same y-intercept

  as the pre-image.

• The image of the line has a different slope and a different y-intercept from the pre-image.

Determine how to translate triangle ABC to triangle A'B'C'.

• left 2, up 9
• right 2, down 9
• left 2, down 9
• left 2, up 5

Which rule would result in a translation of 2 units left and 3 units up?

• (x, y) → (2x, 3y)
• (x, y) → (x - 2, y + 3)
• (x, y) → (-x, -y)
• (x, y) → (x + 2, y - 3)

Describe the translations necessary to transform the graph of f(x) into that of g(x).

• Translate up 2 units

• Translate right 2 units

• Translate down 2 units

• Translate left 2 units

Answer explanation

Vertex of f(x): (0, 0)

Vertex of g(x): (- 2, - 2)

From (0, 0) to (-2, -2), we must translate/shift/move left 2 AND down 2 units.

f(x) = 2x + 5 was changed to g(x) = 4x + 10. What transformation occurred?

• 2f(x)

• f(2x)

• f(x + 6)

• f(2x + 6)

Translate the pink shape to the blue shape...

• 5 Right

  2 Down

• 5 Left

  2 Up

• 3 Right

  1 Down

• 3 Left

  1 Up

Write the equation that results if the parent absolute value function is shifted right 15 units, and reflected vertically, shifted down 3 units .

• $y=-\left|x-15\right|-3$

• $y=-\left|x+15\right|-3$

• $y=\frac{1}{2}\left|x+3\right|-15$

• $y=\frac{1}{2}\left|x-3\right|-15$

• $y=\left|-x-15\right|-3$