# How do you graph and find the discontinuities of 1 /(x+6)?

graph{1/(x+6) [-10, 10, -5, 5]} and $x = - 6$
Essentially it's transforming the graph $y = \frac{1}{x}$ into $y = \frac{1}{x + 6}$ by translating $x$ $6$ units in the negative $x$-direction. Discontinuities occur when the function is undefined, i.e. $x = - 6$, at which the graph is undefined. You can show this by drawing the vertical like $x = 6$ and showing that this line never intersects the graph of $y = \frac{1}{x + 6}$