Chapter 2 - Functions and Their Graphs - 2.5 Graphing Techniques: Transformations - 2.5 Assess Your Understanding - Page 104: 56

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We are given the function: $h(x)=\dfrac{4}{x}+2$ We start graphing with the basic function $a(x)=\dfrac{1}{x}$. We vertically stretch $a(x)$ by a factor of 4 to get $b(x)=\dfrac{4}{x}$. Then we vertically shift $b(x)$ 2 units upward to get $h(x)=\dfrac{4}{x}+2$. We use 4 points: $(-2,0),(-1,-2),(1,6),(4,3)$.