**Contents**

### Graphs of y=kx^{n}

- In Further Maths, we will analyse graphs of the form y=kx^{n}, where k is a constant known as the
**constant of proportionality**, for the following values of**n: -2, -1, 1, 2, 3**. These forms are detailed individually below.

#### n= -2

- The graph of y=kx^{-2} is
**symmetrical**about the line x=0 and has**two asymptotes**. One at x=0, and one at y=0. - At x=0, the graph is undefined and on either side the graph curves upwards and goes towards infinity.
- As you move away from the origin, the graph curves inwards and the value of y gets closer and closer to 0 the further you are from the origin.
- All values of y are positive if k is positive, or negative if k is negative.

Example

The graph of y=3x^{-2} is shown below: