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 "
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.
