How do you sketch a graph of $h (x) = 5 + \frac{1}{2} sec 4 x$ $h(x)=5+frac{1}{2} \sec 4x$ over the interval $[0, 2 π]$ $[0,2pi]$ ?

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Answer 1 · 2014-11-06T21:01:52

Step 1: Sketch the graph of $y = sec x$ $y=secx$ .

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Step 2: Horizontally shrink the graph in Step 1 by a factor of 4.

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Step 3: Vertically shrink the graph in Step 2 by a factor of 2.

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Step 4: Shift up the graph in Step 3 by 5 units.

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Step 5: Keep the part of the graph in Step 4 on $[0, 2 π]$ $[0, 2pi]$ .

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I hope that this was helpful.

How do you sketch a graph of h(x)=5+12sec4xh(x)=5+frac{1}{2} \sec 4x over the interval [0,2π][0,2pi]?