Function Transformation Rules

• right

• up

• left

• down

Tags

AI.9.7.C

• Horizontal stretch by 2

• Vertical stretch by 2

• Vertical shift up 2

Describe the transformations that maps f(x) to g(x) = - f(x + 6) - 10

• Reflect over y-axis
  Shifted down 10 units
  Shifted left 6 units

• Reflect over x-axis
  Shifted up 10 units
  Shifted left 6 units

• Reflect over y-axis
  Shifted up 10 units
  Shifted right 6 units

• Reflect over x-axis
  Shifted down 10 units
  Shifted left 6 units

Match the following

• The line shifted 6 units to the right.

• f(x)-6

• The line shifted 6 units to the left.

• f(x)+3

• The line shifted 6 units down.

• f(x+6)

• The line shifted 3 units up.

• f(x+3)

• The line shifted 3 units to the left.

• f(x-6)

The linear parent function, f(x) = x, is transformed to g(x) = f(x + 3). Describe the transformation. (a)  

• g(x) is shifted up 3 units

• g(x) is shifted down 3 units

• g(x) is shifted left 3 units

• g(x) is shifted right 3 units

Rewrite f(x) = 2x - 1 shifted up three units and the slope doubled (a)  

• f(x) = 5x - 2

• f(x) = 4x + 2

• f(x) = 4x + 3

• f(x) = 5x - 4

What is the effect on the graph of the linear parent function, f(x) = x, when f(x) is replaced by f(x- 7)? Complete the sentence by selecting the correct answers from the drop-down menus. The graph of the line ​ (a)   ​ ​ (b)   7 units.

• shifts horizontally

• up

• down

• left

• right

• shifts vertically

The function f(x) is represented by the table below. What are the corresponding

values of g(x) for the transformation

g(x) = 6f(x)?

• 
• 
• 
• 

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation. (a)  

• g(x) is shifted up 6 units

• g(x) is shifted down 6 units

• g(x) is shifted left 6 units

• g(x) is shifted right 6 units