Function Transformations

Name the parent function.

• Absolute Value
• Quadratic
• Square Root
• Linear

Name the parent function.

• Linear
• Quadratic
• Absolute Value
• Square Root

Name the parent function.

• Linear
• Square Root
• Quadratic Root
• Absolute Value

If the original graph is f(x) and the new graph has been moved 3 to the right, how would one write that in function notation?

• f(x - 3)
• f(x + 3)
• f(x) + 3
• f(x) - 3

If the original graph is f(x), and the new graph has been moved two to the left, what would be the new graph in f(x) notation?

• f(x + 2)
• f(x) + 2
• f(x - 2)
• f(x) - 2

The original graph is f(x). The new graph has been moved up 3 and to the right 4. The new graph is:

• f(x + 3) - 4
• f(x - 4) + 3
• f(x + 4) + 3
• f(x + 3) + 4

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.

Identify the transformation from the graph of f(x)=x² to the graph g(x)= x² - 5

• shifted up five units
• shifted down five units
• shifted left five units
• shifted right five units

Identify the transformation from the graph of f(x)=x² to the graph g(x)= (x+5)² 

• shifted up five units
• shifted down five units
• shifted left 5 units
• shifted right 5 units

Identify the transformation from the graph of f(x)=x² to the graph g(x)= (x - 5)² 

• shifted up five units
• shifted down five units
• shifted left five units
• shifted right five units