3.7 Review

Describe the transformation of the equation below from the parent function of y = I x I

y = I x - 2 I + 4

• horizontal translation left 2, vertical translation up 4

• horizontal translation right 2, vertical translation up 4

• horizontal translation left 2, vertical translation down 4

• horizontal translation right 2, vertical translation down 4

Describe the transformation of the equation below from the parent function of y = I x I

y = I x + 3 I

• horizontal translation left 3

• horizontal translation right 3

• vertical translation up 3

• vertical translation down 3

Describe the transformation of the equation below from the parent function of y = I x I

y = I x + 2 I - 5

• horizontal translation left 2; vertical translation up 5

• horizontal translation right 2; vertical translation up 5

• horizontal translation left 2; vertical translation down 5

• horizontal translation right 2; vertical translation down 5

What is the vertex?

• (3, 1)

• (0, 1)

• (1, 3)

• No vertex

What shifts have occurred?

• horizontal translation left 1, vertical translation up 5

• horizontal translation left 1, vertical translation down 5

• horizontal translation right 1, vertical translation down 5

• horizontal translation right 1, vertical translation up 5

Which of the following describes the horizontal and vertical translations of the following functions:

f(x) = |x + 4| - 9

• horizontal translation left 4

  vertical translation up 9

• horizontal translation left 4

  vertical translation down 9

• horizontal translation right 4

  vertical translation up 9

• horizontal translation right 4

  vertical translation down 9

What is the transformation for:

y=-3|x+1|-3 ?

• Reflection over x-axis, vertical stretch by factor of 3, horizontal translation left 1, and vertical translation down 3

• Reflection over x-axis, vertical shrink by factor of 3, horizontal translation right 1, and vertical translation down 3

• vertical translation down 6 and horizontal translation right 1

• More narrow, horizontal translation right 1, and vertical translation down 3

Describe the transformation from the Absolute Value Parent Function.

• vertical stretch by a factor of 1/5, vertical translation up 4 units

• vertical stretch by a factor of 1/5, vertical translation down 4 units

• vertical shrink by a factor of 1/5, vertical translation up 4 units

• vertical shrink by a factor of 1/5, vertical translation down 4 units

What is the range of the absolute value function?

• y ≥ 3

• x ≥ 0

• y ≥ 0

• y ≤ 0

What is the vertex of the following function?
y= -4|x+2|+5

• (-4,2)
• (-2,5)
• (-4,-2)
• (2,5)