How to Graph Quadratic Functions Easily

Graphing quadratic functions can be simple if you follow these steps:

1. Find Important Points:

   • Vertex: To find the vertex, use the formula (x = -\frac{b}{2a}) for the (x) coordinate. Then plug that number back into the equation to get the (y) coordinate.
   • Axis of Symmetry: This is a line at (x = -\frac{b}{2a}). It shows how the graph will mirror on either side.
   • Intercepts: Find the (y)-intercept by setting (x = 0). For (x)-intercepts, either factor the equation or use the quadratic formula.

2. Plot Points: Start with the vertex. Then, use the axis of symmetry to plot points on both sides of the vertex.

3. Draw the Parabola: Connect all the points smoothly to create the U-shape that is typical of quadratic functions.

By following these steps, you can easily see how the graph of a quadratic function looks!