sketch the graph y =1/x+4

Question

anonymous · Answer

$$\frac{1}{x+4} \ or \ \frac{1}{x} + 4$$

anonymous · Answer

how does the graph go

anonymous · Answer

They are both hyperbolas, with different asymptotes and centers

anonymous · Answer

that i know, but what governs the direction of these hyberbolas and from where do they start

anonymous · Answer

What I did was to find a graphing tool to make a plot.
What the "sketch" part of the question means is to have an idea about the form from the equation, and find a few points that fit the curve.
You still haven't answered my very first question?

anonymous · Answer

Assuming it's the second one
$$y = \frac{1}{x} + 4$$
$$xy = 1 + 4x$$
So these are not "east-west" or "north-south" but angled like xy=1
Notice that x can never be equal to zero
y can never be equal to 4