Transformation Form of Functions

Describe the transformation from function f (blue) to g (red):

• shifted 1 unit right

• vertical shrink (less steep)

• vertical stretch (more steep)

• shifted 1 unit up

What was the transformation from parent function F(x) to g(x)?

• translation 2 units left

• translation 2 units up

• translation 2 units down

• Vertical Stretch

What was the transformation from parent function f(x) to g(x)?

• translation 2 units left

• translation 2 units down

• translation 2 units right

• Vertical Shrink

What was the translation form parent function f(x) to g(x)?

• Translation 3 units down

• reflection over y-axis

• vertical shrink

• vertical stretch

Match the following the transformation to the parent function

• The line shifted 6 units down.

• The line shifted 6 units up.

• The line shifted 3 units down.

• The line shifted 3 units up.

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 + 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

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

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