Question

There is a curve with equation y=3/x, xis not equal 0. Sketch the curve with equation y=3/(x+2), xis not equal to -2, showing the coordinates of any point at which the curve crosses a coordinate axis.

Answer 1

It is just the graph of y = 3/x, shifted left by two.
Plug in x=0 and y=0 to find the intercept(s).

Answer 2

What if we plug y=0?

Answer 3

By now, you should know that y=3/x has a horizontal asymptote at y=0.
No matter how big x gets, y is never zero!