Graph Transformation Lesson

Graph Transformation

Reflection, Shifting, Stretching

Multiple Choice

What does the equation

$$g\left(x\right)\ =\ f\left(x+3\right)\$$  do to the graph of f(x)?

• Shifts the graph left three units

• Shifts the graph right three units

• Shifts the graph up three units

• Shifts the graph down three units

Multiple Choice

What does the equation

$$g\left(x\right)\ =\ f\left(x\right)-4\$$  do to the graph of f(x)?

• Shifts the graph left four units

• Shifts the graph right four units

• Shifts the graph up four units

• Shifts the graph down four units

Multiple Select

What does the equation

$$g\left(x\right)\ =\ -f\left(x\right)+2$$  do to the graph of f(x)? Select all that apply

• Reflection across the x-axis

• Reflection across the y-axis

• Vertical shrink

• Vertical stretch

• Translation 2 units up

Multiple Select

What does the equation

$$g\left(x\right)\ =\ f\left(x-4\right)+5$$  do to the graph of f(x)? Select all that apply

• Vertical shift up

• Vertical shift down

• Horizontal shift left

• Horizontal shift right

• Reflection across the x-axis

Multiple Choice

What does the equation $$g\left(x\right)=\frac{1}{5}f\left(x\right)\$$  do to the graph of f(x)?

• A vertical contract by a factor of 1/5

• A vertical expand of scale factor 5

• A horizontal stretch by a factor of 5

• A horizontal shrink by a factor of 1/5

Multiple Choice

What does the equation $$g\left(x\right)=2f\left(x\right)\$$  do to the graph of f(x)?

• Moves the graph up 2 units

• Vertical expansion of scale factor 2

• Reflects the graph across the x-axis

• Moves the graph 2 units to the left

Multiple Select

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

Multiple Select

What does the equation

$$g\left(x\right)\ =\ -\frac{1}{3}f\left(x\right)$$  do to the graph of f(x)? Select all that apply

• Reflection across the x-axis

• Reflection across the y-axis

• Vertical contract

• Vertical expand

• Translation 3 units to the left

Poll

How do you feel about the lesson for this cycle?

• It is manageable for me

• I need some assistance

• I need to go through the presentation again.

• Help!!!