Transformation of Linear Functions

How do the equation shift from the parent function f(x)+d?

• Shifted up "d" units

• Shifted down "d" units

• Vertically stretches "d" units

• Compress vertically

How did the equation shift from the parent function? f(x)-d

• Shifted up "d" units

• Vertically stretches "d" units

• Shifted down "d" units

• Horizontally stretches "d" units

How did the equation g(x)=f(x)-d shift from the parent function?

• Vertically stretches "d" units

• Vertically shifts down "d" units

• Horizontal shift to the left d units

• Vertically shifts up "d" units

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

• Reflection across the y-axis

• Reflection across the x-axis.

• Steeper

• Less steep

What happens when the parent function is changed to f(x+d) ?

• Horizontal shift to the right "d" units

• Horizontal shift to the left "d" units

• Vertical shift down "d" units

• Vertical shift up "d" units

How did the equation g(x)=f(x)+d shift from the parent function?

• Vertically stretches "d" units

• Vertically shifts down "d" units

• Horizontal shift to the left d units

• Vertically shifts up "d" units

What happens when the parent function is changed to f(x-d) ?

• Horizontal shift to the right "d" units

• Horizontal shift to the left "d" units

• Vertical shift down "d" units

• Vertical shift up "d" units

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

• Horizontal shift to the right 2 units

• Horizontal shift to the left 2 units

• Reflection across the x-axis

• Vertical shift up by 2 units

g(x)=f(x)-4
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated down 4.
• f(x) has been translated up 4.

What is the effects to the graph of the linear parent function, f(x)=x, when f(x) is replaced by f(x+10)?

• The graph of the line become steeper.

• The graph of the line shifts vertically up 10 units.

• The graph of the line shifts horizontally right 10 units.

• The graph of the line shifts horizontally left 10 units.