Transformations of Functions

• horizontal shift to the right 4 and vertical shift down 2

• horizontal shift to the left 4 and vertical shift up 2

• horizontal shift to the right 4 and vertical shift up 2

• horizontal shift to the left 4 and vertical shift down 2

• horizontal shift to the right 2 and vertical shift up 4
• horizontal shift to the right 2 and vertical shift down 4
• horizontal shift to the left 2 and vertical shift up 4
• horizontal shift to the left 2 and vertical shift down 4

• horizontal shift to the left 2 and vertical stretch by a factor of 3
• horizontal shift to the right 2 and vertical stretch by a factor of 3
• horizontal shift to the right 2 and vertical compression by a factor of 3
• horizontal shift to the left 2 and vertical compression by a factor of 3

From the line y = x , which line shifted down 3 units 

• y = 3x

• y = x + 3

• y = -3x

• y = x - 3

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

• down

• up

• right

• left

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 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

• left

• right

• up

• down

Match the following

• The line shifted 6 units to the left.

• f(x-6)

• The line shifted 6 units to the right.

• f(x+6)

• The line shifted 3 units up.

• f(x)-6

• The line shifted 3 units to the left.

• f(x+3)

• The line shifted 6 units down.

• f(x)+3