Exploring Horizontal Scaling of Functions

What is the initial function g(x) defined as?

• g(x) = f(x/2)

• g(x) = f(2x)

• g(x) = f(x+2)

• g(x) = f(x-2)

What happens to the graph of g(x) = f(2x) compared to f(x)?

• It stretches horizontally.

• It shifts to the right.

• It compresses horizontally.

• It shifts to the left.

At x = 2, what is the value of g(2) if g(x) = f(2x) and f(4) = 0?

• 2

• 4

• 0

• -2

What is the new function g(x) defined as in the second example?

• g(x) = f(x-2)

• g(x) = f(x/2)

• g(x) = f(2x)

• g(x) = f(x+2)

How does the graph of g(x) = f(x/2) compare to f(x)?

• It shifts to the left.

• It stretches horizontally.

• It compresses horizontally.

• It shifts to the right.

If g(x) = f(x/2), what is g(4) if f(2) = 0?

• -2

• 0

• 4

• 2

What is the final function g(x) defined as in the last example?

• g(x) = f(x-3)

• g(x) = f(3x)

• g(x) = f(2x)

• g(x) = f(x/2)

In the final example, what is the relationship between f(x) and g(x)?

• g(x) = f(x/3)

• g(x) = f(x-3)

• g(x) = f(3x)

• g(x) = f(x+3)

If g(x) = f(3x), what is g(2) if f(6) = 0?

• -2

• 0

• 4

• 2

What is the equation of g(x) if f(x) = -3 * cube root(x + 2) + 1 and g(x) = f(3x)?

• -3 * cube root(x + 6) + 1

• -3 * cube root(x/3 + 2) + 1

• -3 * cube root(3x - 2) + 1

• -3 * cube root(3x + 2) + 1