1. Graph Quadratic Functions in Standard Form
Notes5.1 (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 is the y intercept of the graph
Just like line, y = mx + b

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: Plug the x coordinate in to find the y coordinate of the vertex
Step 3: Graph the y intercept (c value)
Step 4: Draw the axis of symmetry
Step 5: Plot the point opposite to the y intercept
Step 6: Connect the dots and form a parabola

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