3.4 Notes PART 2 - Effects of Linear Transformations

What is the effect on the graph of a linear parent function f(x) when it is transformed to g(x) = f(x) + 4?

• Shifted up by 4 units

• Shifted down by 4 units

• Shifted right by 4 units

• Shifted left by 4 units

What is the effect on the graph of a linear parent function f(x) when it is transformed to g(x) = 3f(x)?

• Shifted up by 3 units

• Shifted right by 3 units

• Steepened by a factor of 3

• Flattened by a factor of 3

What transformations occur when the parent function f(x) = x is transformed into g(x) = -f(x) - 2?

• Reflected across the x-axis and shifted up by 2 units.

• Reflected across the y-axis and shifted down by 2 units.

• Reflected across the x-axis and shifted down by 2 units.

• Reflected across the y-axis and shifted up by 2 units.

How would you write the transformed function g(x) if the linear parent function f(x) = x is reflected across the x-axis?

• g(x) = f(-x)

• g(x) = -f(x)

• g(x) = f(x) + c

• g(x) = c * f(x)

How would you write the transformed function g(x) if the y-intercept of the linear parent function f(x) = x is decreased by 4?

• g(x) = f(x) - 4

• g(x) = f(x - 4)

• g(x) = 4f(x)

• g(x) = f(x) + 4