# How do you graph y=5/x+4 using asymptotes, intercepts, end behavior?

Feb 12, 2018

#### Explanation:

We already know the graph of y=5/x and it's asymptotes are y axis and x axis

$\left(y - 4\right) = \frac{5}{x}$
This kinda reduces to $Y = \frac{5}{x}$
here $Y = y - 4$ i.e origin is shifted to (0,4).
Hence asymptotes will be be *y axis and y=4*

Further put y=0 to find the x intercept
x intercept = -5/4= -1.25

Thus graph becomes