Transformations on a Graph

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• Graph g rotated

• Graph g translated down 4 units

• Graph g translated up 4 units

• Graph g reflected

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

Which transformation on f(x) = x is g(x) = -f(x)

• Reflection across the y-axis

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.

Describe the transformation from the parent function: y = 3x + 5

• Steeper; Shift up 5 units

• Steeper; Shift down 5 units

• Flatter; Shift up 5 units

• Flatter; Shift down 5 units

Describe the transformation from the parent function.

• Reflection

• Vertical stretch

• Shift up 2 units

• Shift down 2 units

Describe the transformation from the parent function: y = x + 10

• Steeper by 10

• Shift up 10

• Shift down 10

• Flatter by 10

Describe the transformation from the parent function.

• Flatter/Vertical compress

• Steeper/Vertical stretch

• Shift up 2 units

• Shift down 2 units

Describe the transformations that maps
y = g(x) to y = - g(x + 6) - 10

• Reflect over y-axis
  Shifted down 10 units
  Shifted left 6 units

• Reflect over x-axis
  Shifted up 10 units
  Shifted left 6 units

• Reflect over y-axis
  Shifted up 10 units
  Shifted right 6 units

• Reflect over x-axis
  Shifted down 10 units
  Shifted left 6 units

Describe the transformation

f(-x)

• reflect over the x-axis

• shift up

• shift down

• reflect over the y-axis