Transformations of Linear Functions When Not Using the Parent Function

• Horizontal shift of 4 to the right, reflection, dilation of 10

• Horizontal shift of 4 to the right, vertical shift down 10

• Horizontal shift of 4 to the left, vertical shift up 10

• Horizontal shift of 4 to the left, vertical shift down 10

Tags

CCSS.HSF.BF.B.3

Given f(x) = 7x +3.  Translate the function up 6 and write the new rule.

• g(x) = 7x +9

• g(x) = 7x -3

• g(x)= 21x+6

• g(x) = 2x +3

y = x is related to y = x + 2 by

• Vertical Transformation Up 2 units

• Horizontal Transformation Right 2 units

• Vertical Transformation down 2 units

• Horizontal Transformation Left 2 units

• Vertical stretch by a factor of 4

• Vertical compression by a factor of 1/4

• Vertical translation up by 1/4 units.

• Horizontal compression by a factor of 1/4

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 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

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• Graph g shifted vertically down 6 units

• Graph g is steeper by a factor of 7

• Graph g is less steep by a factor of 1/3

• Graph g shifted vertically up 6 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

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• The graph of g is a vertical translation 4 units up from the graph f

• The graph of g is a horizontal translation of the graph of f, 4 units right

• The graph of g is a horizontal translation of the graph of f, 4 units left

• The graph of g is a vertical stretch of the graph of f, by a factor of 7

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