Find the cosine function that is represented in the graph.
1 answer:
Answer:
The cosine function that is represented in the graph is:
Option B. f(x)=cos (x-pi/4)-1
Step-by-step explanation:
The parent function is cos x.
cos x at x=0 has the maximum value 1.
The graph is shifted to the right (x-pi/4) with a maximum value 0 at x=pi/4, then the graph is shifted downward 1 unit.
Then f(x)=cos (x-pi/4)-1
Please, see the attached graph:
The blue line is the parent function y=cos x
The red line is the graph given
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The coordinates of the point S' is (2,1)
Explanation:
Given that the RST has vertices R(0,0), S(10,5) and T(5,-5)
The image R'S'T' is the image of RST after a dilation with center (0,0) and scale factor
We need to determine the coordinates of the point S'
The coordinates of S' can be determined by multiplying both the x and y - coordinates of the point S with the scale factor
Let us consider the x - coordinate of the point S and multiply it with the scale factor
Thus, we have,
x - coordinate of the point S' is given by
Thus, the x - coordinate of the point S' is 2
Similarly, the y - coordinate of the point S' can be determined by multiplying the point S with the scale factor
Thus, we have,
The y - coordinate of the point S' is given by
Thus, the y - coordinate of the point S' is 1
Hence, the coordinates of the point S' is (2,1)