Question

See attached

Step 1

This graph has form of either sec or csc.

This graph must have y=1 at x=6pi/4 = 3pi/2

And y=1 at x= -2pi/4=-pi/2

Only y=2+csc x gives that

1=2+csc(3pi/2)=2+csc(-pi/2)

Answer: First graph is** y=2+cscx**

Step 2

This graph has form of csc or sec graph.

It must have y=1 at x= -pi/4

y=-1 at x=3pi/4

y=sec(x+pi/4) only satisfies that

Answer: Second graph is **y=sec(x+pi/4) **

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