How to graph a hyperbola?

Question

So this is the queation of a hyperbola: $$xy=4$$ It's not in it's standard form, how can I graph it this way?

Were you asked to tackle this without learning about $y=\dfrac 1 x$ first? — Git Gud, Feb 05 '14 at 10:10
sorry i have used paint and could not draw more better then this — dato datuashvili, Feb 05 '14 at 10:24

score 2 · Accepted Answer · edited Feb 09 '14 at 11:14

2

Let us sketch the graph: $$y=\frac{1}{x}$$

How does value change when $x$ changes from positive side to infinity? How does $y$ changes as $x$ changes from $0$ to negative infinity? Graph is something like this:

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