A2_2.7.1_Video lesson - Reflecting Functions Intro

What transformation occurs when the function f(x) is changed to g(x) = -f(x)?

• Reflection over the x-axis

• Reflection over the y-axis

• Translation up

• Translation down

What transformation occurs when the function f(x) is changed to h(x) = f(-x)?

• Reflection over the x-axis

• Reflection over the y-axis

• Translation left

• Translation right

What transformation occurs when the function f(x) is changed to k(x) = -f(-x)?

• Reflection over the x-axis

• Reflection over the y-axis

• Reflection over both the x-axis and y-axis

• No reflection

Given the function f(x) = x^3 - 2x^2 - 2x, which function represents a reflection of f(x) over the x-axis?

• g(x) = x^3 - 2x^2 - 2x

• g(x) = -x^3 + 2x^2 + 2x

• g(x) = (-x)^3 - 2(-x)^2 - 2(-x)

• g(x) = x^3 - 2x^2 + 2x