(b)The graph of y = g(x) is shown. Draw the graph of g(2x). Will award 100 Brainly points
1 answer:
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:
- (0,0).
- (1,-4).
- (2,-2).
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:
4. C
5. 7
6. 3
Step-by-step explanation:
Four:
You have to multiply both of them. Just easy math!
Five:
This one is more complicated. You can see that it is asking you to plug in for a,
F(3):
F(1.25):
So now just subtract the answers. 7-0 equals 7.
Six:
Just look at the graph and see what number corresponds with y(6), or the 6 on the y axis. It appears to be three.
Have a nice day! Hope this helps. Don't forget to mark brainliest!