Using the stated transformation, the graph of g(2x) is given at the end of the answer.
<h3>Horizontal stretch and compression</h3>
An horizontal stretch or an horizontal compression happens when a constant is multiplied at the domain of the function, as follows:
g(x) = f(ax).
The definition of stretch or compression depends on the value of the constant a, as follows:
- If a > 1, it is a compression by a factor of 1/a.
- If a < 1, it is a stretch by a factor of 1/a.
In this problem, the rule is:
f(x) = g(2x).
Meaning that f(x) is an horizontal compression by a factor of 1/2 of g(x), and then the vertices are given as follows:
That is, in each vertex, the x-coordinate was divided by 2, and thus the graph with these vertices is given at the end of the answer.
More can be learned about transformations at brainly.com/question/28725644
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Answer:
f(-9)=31
Step-by-step explanation:
f(x)=-5x-14
f(-9)=-5(-9)-14
f(-9)=45-14
f(-9)=31
Your answer will be D
As y = -(x+2)(x-1)
Thus the external negative sign will flip the positive 2 into a negative & negative 1 into a positive; Resulting, y=(x-2)(x+1)
Answer:
Step-by-step explanation:
Part 15) we know that
Solve for k
That means ----> isolate the variable k
we have
substitute
Using the concept of y-intercept, it is found that the response that is not correct is given by:
B) Replace x with -x.
<h3>What is the y-intercept of a function?</h3>
It is the value of the function when x = 0, hence it is the point (0, f(0)).
In this problem, the function is:
The y-intercept is given by:
If we just replace x with -x, we still have the same expression as above, hence the y-intercept does not change and option B is the answer to this question.
More can be learned about y-intercepts at brainly.com/question/24737967
