Graphing quadratic functions (Section 5.1

Forms of the quadratic function  Standard form  Vertex form  Intercept form

The graph of a quadratic function is a parabola  The parabola opens up if a>0 and opens down if a<0.  The parabola is wider than the shape of the parent function if the absolute value of a is less than one, and is narrower than the graph of the parent function if the absolute value of a is greater than one.

Graphs of some quadratic functions

Using standard form of a quadratic function  The x-coordinate of the vertex is  The axis of symmetry is the vertical line

Using standard form of a quadratic function(continued)

Using vertex form of a quadratic function

Using intercept form of a quadratic function