### Home > PC3 > Chapter 5 > Lesson 5.2.2 > Problem 5-74

5-74.

Using the graph of below, sketch a graph of each of the following transformations.

1. Reflect vertically (across the

-axis).

2. Stretch vertically by a factor of.

1. Reflect horizontally (across the

-axis).

2. Shift upunit.

Sketch the vertical asymptotes.

**Added to the graph, 2 vertical dashed lines at, x = negative 2, & at, x = 3.**Since

and , mark the points that "stay in place" on the graph. The following Points highlighted: (negative 3, comma negative 1), (negative 1, comma 1), (0, comma 1), (1, comma 1), & (5, comma negative 1). Where the original function is positive, the reciprocal function will also be positive.

Where the original function is negative, the reciprocal function will also be negative.