Equations Functions Transformations

f(x) = 2x

• Vertical stretch

• Vertical compression

• Vertical translation up

• Reflection over the x-axis

• No Transformation

f(x) = |x-4|

• Vertical translation up

• Vertical translation down

• Horizontal translation left

• Horizontal translation right

• No transformation

f(x) = 0.7√(x)

• Vertical stretch

• Vertical compression

• Vertical translation down

• Reflection over the x-axis

• No transformation

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

• down

• up

• right

• left

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

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

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

• left

• right

• up

• down

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