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

Nov 6, 2014

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

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

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

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

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

I hope that this was helpful.