1. Graph Quadratic Functions in Standard Form
Notes 4.1 (Day 2)
Graph Quadratic Functions in Standard Form

2. Graphing any quadratic (x2) function,
The a value:
The graph will hold water if a > 0, and will spill water if a < 0.
The graph is more narrow than the parent function if a > 1 or a < -1 .
The graph is wider than the parent function if -1 < a < 1 .

3. With a, finds the x coordinate of the vertex
The b value:
With a, finds the x coordinate of the vertex
To find the x – coordinate of the vertex:
IMPORTANT!!!

4. The c value: - This value shifts the graph up and down

5. Vertex: Is either the minimum or maximum value of a parabola
The x coordinate of the vertex also determines where the axis of symmetry lies.

6. Maximum and Minimum Values:
The vertex will be the maximum or minimum value.
If the parabola holds water, it will be a minimum value.
If the parabola spills water, it will be a maximum value.

7. Axis of Symmetry
Divides the parabola into mirror images and passes through the vertex.
Is literally the equation x = (it will be a vertical line for all parabolas)

8. How to graph a quadratic in the form
Step 1: Find the x – coordinate of the vertex.
Step 2: Make a t-chart of 5 values, with the middle x value being the x – coordinate of the vertex.
Step 3: The four missing values in your t-chart will be the first two integers on either side of the x-coordinate of the vertex.
Step 4: Solve for the y – values.
Step 5: Plot the points and connect the dots.
Step 6: Label the min. or max. and the axis of symmetry (dotted line)

9. Example: Graph the Quadratic Function.
b =
c =

10. Example: Graph the Quadratic Function.
b =
c =

11. Example: Graph the Quadratic Function.
b =
c =

12. Homework:
Graphing Quadratics (Parabolas) Worksheet