Exploring Transformations of Linear Functions

What is the parent function of all linear functions?

• y = x^2

• y = 2x + 3

• y = 1/x

• y = x

In function notation, how is the parent function of a linear function represented?

• f(x) = 1/x

• f(x) = x

• f(x) = 2x + 3

• f(x) = x^2

What happens to the graph of y = x when it is changed to y = x + 2?

• It moves right 2 units

• It moves down 2 units

• It moves left 2 units

• It moves up 2 units

In function notation, how is the transformation y = x to y = x + 2 represented?

• f(x) to f(x - 2)

• f(x) to f(x + 2)

• f(x) to f(x) - 2

• f(x) to f(x) + 2

What happens to the graph of y = x when it is changed to y = x - 2?

• It moves left 2 units

• It moves right 2 units

• It moves up 2 units

• It moves down 2 units

In function notation, how is the transformation y = x to y = x - 2 represented?

• f(x) to f(x + 2)

• f(x) to f(x) + 2

• f(x) to f(x) - 2

• f(x) to f(x - 2)

What happens to the graph of y = x when it is changed to y = -x?

• It reflects over the y-axis

• It moves up 2 units

• It moves down 2 units

• It rotates 90 degrees

In function notation, how is the transformation y = x to y = -x represented?

• f(x) to -f(x)

• f(x) to f(x) - 2

• f(x) to f(-x)

• f(x) to f(x) + 2

What is the effect of the transformation f(x) to f(x) + c?

• Rotation 90 degrees

• Reflection over the y-axis

• Translation down c units

• Translation up c units

What is the effect of the transformation f(x) to -f(x)?

• Reflection over the y-axis

• Translation up c units

• Rotation 90 degrees

• Translation down c units