Question

sketch the graph y =1/x+4

Answer 1

\[\frac{1}{x+4} \ or \ \frac{1}{x} + 4\]

Answer 2

how does the graph go

Answer 3

They are both hyperbolas, with different asymptotes and centers

Answer 4

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

Answer 5

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?

Answer 6

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