A. Definitions

Parabola – the graph of a quadratic function, which is ushaped

Vertex Point – it’s the highest or lowest point on the graph

Axis of Symmetry – the vertical line that goes through the vertex point

Standard Form  y = ax² + bx + c
B. Steps for Graphing a Quadratic Equation in Standard Form
 Determine if the graph will open up or down.
 Opens up if "a" is positive.
The vertex point will be the minimum point.
 Opens down if "a" is negative.
The vertex point is the maximum point.
 Find the vertex point.
 Find the xvalue by x =  b/(2a).
 Find the yvalue by substituting the xvalue into the equation and solving for "y".
 Find more points to determine the graph.
 Choose two integers larger than the xvalue of the vertex point.
 Choose two integers smaller than the xvalue of the vertex point.
 Substitute these values in place of "x" in the equation and solve for "y".
 Four ordered pairs have been found
 Graph and connect all points that have been found.


