Transformations of a Line

Given the graph of the parent function, choose the equation of the line after it is reflected over the x-axis.

• y = -4x

• y = 4x + 2

• y = -4x + 2

• y = 4x - 2

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

• Translation left 2 units

• Translation right 2 units

• Vertical translation up by 2 units.

• Reflection across the x-axis.

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.

• Consta

• Linear

• Quadratic

• Absolute Value

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

• The graph of g is a vertical translation 4 units up from the graph f

• The graph of g is a horizontal translation of the graph of f, 4 units right

• The graph of g is a horizontal translation of the graph of f, 4 units left

• The graph of g is a vertical stretch of the graph of f, by a factor of 7

What type of function is shown?

• absolute value

• quadratic

• linear

• exponential

Which represents the parent function shifted down two units?

• f(x) = -2x

• f(x) = x - 2

• f(x) = x + 2

• f(x) = 2x

Match the following linear transformations.

• Vertical Compression by a factor of 1/3

• g(x) = -f(x)

• Vertical Shift up 2

• g(x) = f(x) -5

• Vetical Shift down 4

• g(x) = 1/3f(x)

• Reflection over the x-axis

• g(x) = 5f(x)

• Vertical Stretch by a factor of 5

• g(x) = f(x) + 2

• 3 Units Up

• 3 Units Down

• 3 Units Left

• 3 Units Right

• Reflected across the x-axis

  2 Units Up

• Reflected across the x-axis

  2 Units Down

• Reflected across the y-axis

  2 Units Up

• Reflected across the y-axis

  2 Units Down