B. Steps for Graphing a Quadratic Equation in Standard Form
Parabola - the graph of a quadratic equation, which is u-shaped
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
Vertex Form - y = a(x - h)² + k
- Determine if the graph will open up or down.
Find the vertex point.
- 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 more points to determine the graph.
- Find the x-value by x = -b/(2a).
- Find the y-value by substituting the x-value into the equation and solving for "y".
Graph and connect all points that have been found.
- Choose two integers larger than the x-value of the vertex point.
- Choose two integers smaller than the x-value of the vertex point.
- Substitute these values in place of "x" in the equation and solve for "y".
- Four ordered pairs have been found.