Transformational Algebra

g(x) can be thought of as a translated (shifted) version of f(x). g(x) = f(x (a)   ) ​ (b)  

• -

• +2

• -6

• +6

• -2

• Shifts the graph left four units

• Shifts the graph right four units

• Shifts the graph up four units

• Shifts the graph down four units

• Reflection across the x-axis

• Reflection across the y-axis

• Vertical shrink

• Vertical stretch

• Translation 3 units to the left

• Vertical shift up

• Vertical shift down

• Horizontal shift left

• Horizontal shift right

• Reflection across the x-axis

• Vertical stretch

• Horizontal shrink

• Horizontal shift left

• Horizontal shift right

• Reflection across the y-axis

• Vertical stretch

• Horizontal shrink

• Horizontal stretch

• Vertical shrink

• Reflection across the y-axis

What does the equation \(g\left(x\right)\ =\ -f\left(-x\right)+4\) do to the graph of f(x)? Select all that apply

• Vertical stretch

• Vertical shift up

• Vertical shift down

• Reflection across the x-axis

• Reflection across the y-axis

Describe the transformation from dotted to solid.

• left 5, up 3

• left 3, up 5

• right 5, up 3

• right 3, up 5

How does the following move from the parent function
y = |x|
y = 1/2|x| + 3

• Opens Up, Skinnier, Shift down

• Opens Down, Wider, Shift up

• Opens Up, Wider, Shift up

• Opens Down, Skinnier, Shift up

What is the equation of the graph below?

• f(x) = I x + 2 I 

• f(x) = I x + 2 I +2

• f(x) = I x - 2 I +2

• f(x) = I x - 2 I