Transformations

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 stretch of scale factor 2

• Reflects the graph across the x-axis

• Moves the graph 2 units to the left

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

What does the equation

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

• A vertical shrink by a factor of 1/3

• A vertical stretch by a factor of 3

• A horizontal stretch by a factor of 3

• A horizontal shrink by a factor of 1/3

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

• A vertical shrink by a factor of 1/5

• A vertical stretch of scale factor 5

• A horizontal stretch by a factor of 5

• A horizontal shrink by a factor of 1/5

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

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 shrink

• Vertical stretch

• Translation 3 units to the left

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

What does the equation

 $g\left(x\right)\ =\ f\left(-3x+2\right)$  do to the graph of f(x)? Select all that apply

• Vertical stretch

• Horizontal shrink

• Horizontal shift left

• Horizontal shift right

• Reflection across the y-axis

What does the equation

 $g\left(x\right)\ =\ 3f\left(\frac{1}{2}x\right)$  do to the graph of f(x)? Select all that apply

• 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