Graphs Algebra Enrichment

• 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

• Shifts the graph left three units

• Shifts the graph right three units

• Shifts the graph up three units

• Shifts the graph down three units

• 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

• 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

• 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

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