Vertical Translation of Linear Graph

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

• Translation left 2 units

• Translation right 2 units

• Vertical translation up by 2 units.

• Reflection across the x-axis.

The linear parent function, f(x) = x, is transformed to g(x) = f(x) + 3. Describe the transformation.

• 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 linear parent function?

• y = x

• y = mx + b

• f(x) = 2x

• Not here

Which represents the parent function shifted down two units?

• f(x) = -2x

• f(x) = x - 2

• f(x) = x + 2

• f(x) = 2x

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

• Graph g shifted down 3 units

• Graph g shifted down 4 units

• Graph g shifted up 4 units

• Graph g reflected

Translations of functions are characterized by which type of operations? (Select all that apply)

• Adding

• Subtracting

• Multiplying

• Dividing

Describe the translation as vertical or horizontal:

 $f\left(x\right)-5$  

• Vertical

• Horizontal

How did the function y=x+7 shift from y=x?

• up 7

• down 7

• left 7

• right 7

Find x when f(x) = -2

• 8

• 3

• 0

• 1

Compare the function

 $t\left(x\right)=x-7$  to the parent function  $f\left(x\right)=x$  

• Vertical Translation Up 7 units

• Vertical Translation Down 7 units