HW#1- Transformation of Functions

What is the RANGE?

• (-∞,∞)
• [0,∞)
• (-∞,0]
• [-∞,∞]

Tags

CCSS.HSF-IF.C.7A

DOMAIN?

• (-∞,∞)
• [0,∞)
• (-∞,0]
• -2, 2

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Describe the transformation of y = f(x) for the new function
 y = f(x) - 5

• The graph of y = f(x) was shifted to the right 5 units. 
• The graph of y = f(x) was shifted to the left 5 units. 
• The graph of y = f(x) was shifted up 5 units. 
• The graph of y = f(x) was shifted down 5 units.

Tags

CCSS.HSF.BF.B.3

Which equation describes the transformation of shifting f(x)=x² two units right?

• x² + 2
• x² - 2
• (x + 2)²
• (x - 2)²

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

• -f(x)
• f(-x)
• f^-1(x)
• f(2x)

Match the equation with the graph:

• y = (x - 2)² + 4

• y = -(x - 4)² + 2

• y = -(x - 2)² + 4

• y = -(x + 2)² + 4

Tags

CCSS.HSF-IF.C.7A

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

Tags

CCSS.HSF.BF.B.3

• 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 is the equation of the graph?

• y = √(x - 3)
• y = √(x) + 3
• y = √(x - 5) + 4
• y = √(x + 5) + 4

Tags

CCSS.HSF-IF.C.7B