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.
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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:
23
Step-by-step explanation:
Answer:
x=20°
Step-by-step explanation:
Given that , an isosceles triangle, has the ratio of the measure of the vertex to the measure of a base angle is 1:4, we want to find the measure of the vertex angle.
Note that the base angles of an isosceles triangle are equal.
Therefore if the vertex angle is x, then the base angles are:
4x each
The sum of angles in a triangle is 180°
The vertex angle is 20°
Answer:
y = -3x
Step-by-step explanation:
Equation of the line going through the origin: y = mx
Substitute any point in the above equation.
Here, Chosen point( 1 ,-3)
-3 = m*1
m = -3
Equation of the line: y = -3x
Answer: D=25H
Step-by-step explanation: got right on eg d e
