Transformation of Functions Honors

Describe the transformations if the parent function is f(x) = √(x)

• Translate Right 2, Down 4

• Translate Left 2, Down 4

• Translate Left 2, Up 4

• Translate Right 2, Up 4

• f(x)=3∣x−2∣−2
• f(x)=1/3∣x+2∣−2
• f(x)=3∣x+2∣−2
• f(x) = 1/3∣x−2∣+2

What transformation occurs in y = -1/2x²?

• Reflection and compression

• Reflection and stretch

• Compression

• Stretch

Given f(x)= -3x+7 and g(x)=2x² - 8, find f(g(x)).

• f(g(x))= -6x²+31

• f(g(x))= -6x²+24

• f(g(x))=18x²-84x+6

• f(g(x))=9x²-42x-1

What is f(1)?

• 6

• -2

• sqrt(2)

• Undefined

Find (g + f)(x)

• 3x² - x - 3

• 3x² + x + 3

• 3x² - 3x - 3

• 3x² - 3x + 3

Find (g − f)(x)

• 3x² - 3x - 3

• x² - 3x + 11

• x² - 3x - 3

• x² + 3x -11

How must the domain of f(x) be restricted such that g(x)=f^-1(x) ?

• x ≤ 0

• x ≥ 0

• x ≤ 3

• x ≥ 3

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

What are the transformations of this functions compared to the parent function y = √(x)?

• Horizontal right 5, vertical down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch of 2, and horizontal right 5

• Reflected over the x-axis, vertical stretch of -2, and horizontal left 5

• Horizontal right 5, Vertical down 2