Functions and Relations Unit Review

Describe each transformation

• stretch by factor of 1/4, right 3, down 1

• stretch by factor of 1/4, right 3, up 1

• stretch by factor of 1/4, left 3, down 1

• stretch by factor of 1/4, left 3, up 1

Determine the vertex for each absolute value function

• (-3, -1)

• (-3, 1)

• (3, -1)

• (3, 1)

Determine the vertex of the function

• (-2, 5)

• (-2, -5)

• (2, 5)

• (2, -5)

Determine the vertex of the function.

• (0, -5)

• (0, 5)

• (-2, 5)

• (-2, -5)

Which function is graphed?

• f(x) = 2|x + 2| -4

• f(x) = 2|x - 4| + 2

• f(x) = |x + 2| - 4

• f(x) = -2|x - 4|

What is the range?

• -7 ≤ y ≤ 5

• -9 ≤ y ≤ 3

• -5.5 ≤ y ≤ -0.5

• -∞ ≤ y ≤ 5

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5

• y = (x + 5)²

• y = 5x²

• y = -x² - 5

Describe the transformations from the original parent function f(x) = x².

g(x) = 5x² + 2

• Vertical Stretch of 5

  Vertical Down 2

• Vertical Compression of 5

  Vertical Up 2

• Vertical Stretch of 5

  Vertical Up 2

• Vertical Compression of 5

  Vertical Down 2

How do we represent a translation 2 units to the left using function notation?

Which transformation is shown here (from red to purple)?

• Translation 2 units left

• Translation 2 units right

• Reflection across the x-axis

• Reflection across the y-axis