Question

If g(x) = f(4x), which statement is true?

Answer 1

The true statement is " The graph of function f is compressed horizontally by a scale factor of 4 to create the graph of function g " ⇒ answer C

Step-by-step explanation:

Let us revise the vertical and horizontal stretching

• A vertical stretching is the stretching of the graph away from the x-axis
• A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis.
• f k > 1, the graph of y = k • f(x) is the graph of f(x) vertically stretched by multiplying each of its y-coordinates by k.
• If 0 < k < 1 (a fraction), the graph of y = k •f(x) is the graph of f(x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k.

• A horizontal stretching is the stretching of the graph away from the y-axis
• A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis.
• If k > 1, the graph of y = f(k • x) is the graph of f(x) horizontally shrunk (or compressed) by dividing each of its x-coordinates by k.
• If 0 < k < 1 (a fraction), the graph of y = f(k • x) is the graph of f(x) horizontally stretched by dividing each of its x-coordinates by k.

∵ g(x) = f(4x)

∴ x is changed to 4x

∴ f(x) is stretched or compressed horizontally

∵ 4 > 1

∴ f(x) is compressed horizontally by scale factor of 4

The true statement is " The graph of function f is compressed horizontally by a scale factor of 4 to create the graph of function g "

Learn more:

You can learn more about vertical stretching in brainly.com/question/3568205

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Answer 2

Answer: For plato algebra 1 mastery test: The graph of function f is compressed horizontally by a scale factor of 1/4 to create the graph of function g.

Step-by-step explanation: