Mathematics for IGCSE & O level - Sketching Curves (Section 1 - No. 28)
Which features are present in the graph of y=a/x when a is negative? (Select all that apply)
The graph has two separate branches
The graph is symmetrical about the y-axis
The graph is symmetrical about the origin
It does not cross the x or y axes.
Explanation
Negative a values reverse the typical reciprocal graph characteristics. The graph will be in the second and fourth quadrants, and is symmetrical about the origin.