If anyone answers this is a BEAST !Justify each step of the solution by stating the property that was used to get to each step.
1 answer:
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Answer:
The correct options are:
- g(x) is shifted three units higher than f(x).
- g(x) has a period that is half the period of f(x).
Step-by-step explanation:
We have to compare the graphs of the function:
and
We have to select the correct options among the following:
As we know that the period of sine function is 2π.
i.e. Period of function f(x) is: 2π.
The period of sin(2 x) is π.
Hence, the period of the function g(x) function is π.
- Hence, the period of g(x) is half the period of f(x).
- Also we could observe that g(x) is shifted 3 units upward.
Answer:
First, find two points on the graph:
- (x₁, y₁) = (0, 2)
- (x₂, y₂) = (2, 8)
Slope =
16 + (-3) = 16 - 3 = 13