Question 3 of 21
1 answer:
The equation of the red graph, g(x) is g(x) = |x| - 5
<h3>How to determine the equation of the red graph, g(x)?</h3>The graph that completes the question is added as an attachment
The function f(x) is given s:
f(x) = |x|
From the attached graph, we can see that the function f(x) is shifted 5 units down to get to g(x).
This means that:
g(x) = f(x) - 5
Substitute f(x) = |x|
g(x) = |x| - 5
Hence, the equation of the red graph, g(x) is g(x) = |x| - 5
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Note that:
The graph of sine and cosine functions are very similar. They only have a shift in the x -axis.
That is, sin x = cos (90 - x)
Since there is a great similarity between the sine and cosine graphs, and the secant graph is an inverse of the cosine graph, the graph of sine can be used to construct the graph of the secant function
Mathematically:
since sec x = 1 / cos x
and, cos x = sin (90 - x)
therefore, sec x = 1 / sin (90 - x)
The graphs of the sine and secant functions are attached to this solution
Learn more here: brainly.com/question/9554579
