Answer:
<u>Frequency = 1/period = </u>
Step-by-step explanation:
The frequency of the sinusoidal function = 1/period
Frequency is how many the function repeats itself per unit if time i.e: per "1"
For the given graph :
, Where: B = 2π/period
period = 2π/B , B = 1/4 = 0.25
∴ Period = 2π/0.25 = 8π
∴ Frequency = 1/period =
We have been given a graph of function f(x).
Another function g(x) is defined as g(x) = 2f(x -1).
Now we have to use the drawing tool(s) to form the correct graph of the function g(x) = 2f(x -1).
which can be found using transformation
f(x) into f(x-1)
then f(x-1) into 2f(x-1)
f(x-1) shifts the graph of f(x) 1 unit right side.
while 2f(x-1) stretches the graph of f(x-1) by factor of 2. so that means we just have to double the y-coordinate of points on the graph.
So the final graph of g(x) will be as shown in red color.
