Maths

Graphs of Quadratic functions

L.O-To be able to draw graphs of quadratic functions using tables of values

and being able to solve quadratic equation using graphs.

A quadratic graph has an **x ^{2 }term** in its equation. For example y= x

^{2 }and

y= x^{2 }+6x-4 are both quadratic functions. These graphs always have the same

characteristic shape called a parabola. Quadratic graphs are drawn from

tables of values as shown below;

We can use quadratic graphs to solve various equations.

Example

1. Use the graph of y=3x^{2} +x+2 to find the x values when y is 16.

- The graph y=3x
^{2}+x+2 is drawn using a table of values. The table - of values shown above was used to construct this graph. The graph
- is also shown above.

Related Topics

#### Straight-line-graphs