The equation of the function shown in the graph would be [tex]y=0.5sec[2(x+\pi)]-4[/tex].
How to find the function which was used to make graph?
There are many tools we can use to find the information of the relation which was used to form the graph.
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
This is the graph of y = sec x that is shifted down 2 units and shifted to the left π/3 units.
When x=0,
[tex]y = 0.5sec[2(x+\pi)]-4\\\\y = 0.5sec[2(x+\pi/3)]-4\\\\y = 1-2\\\\y = -1[/tex]
Thus, The y-intercept is -1.
Learn more about finding the graphed function here:
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