A2_2.8.1 Video Lesson - Scaling Functions Intro

If a function f(x) = |x| is transformed into g(x) = 2 ⋅ f(x), how does the graph of g(x) compare to the graph of f(x)?

• The graph of g(x) is wider than f(x).

• The graph of g(x) is narrower than f(x).

• The graph of g(x) is shifted upwards compared to f(x).

• The graph of g(x) is shifted downwards compared to f(x).

For a function f(x) = |x| + 6, if a new function g(x) = k ⋅ f(x) is created, what aspects of the graph of f(x) are affected when the value of k is changed?

• Only the slope of the lines.

• Only the y-intercept.

• Both the slope of the lines and the y-intercept.

• Neither the slope of the lines nor the y-intercept.

If a function f(x) = |x| + 6 is transformed into g(x) = f(k ⋅ x), what happens to the y-intercept of the graph of g(x) as the value of k changes?

• The y-intercept increases.

• The y-intercept decreases.

• The y-intercept remains the same.

• The y-intercept becomes zero.

Consider the function f(x) = 2 - x^2. If a new function g(x) = f(k ⋅ x) is created and the value of k is increased, how does the graph of g(x) change compared to f(x)?

• The parabola becomes wider.

• The parabola becomes narrower.

• The parabola shifts upwards.

• The parabola shifts downwards.