1. Graphing Quadratic Functions
Chapter 6.1
Graphing Quadratic Functions

2. f(x) = ax2 + bx + c Quadratic Equations
Linear Term
f(x) = ax2 + bx + c
Quadratic Term
Constant Term
The graph of any quadratic function is called a Parabola.

3. Graphs of Quadratic Functions
Axis of Symmetry
Vertex

4. To Find the Pieces: The equation of the axis of symmetry is:
To find the X coordinate of the Vertex – just use the value that you found when getting the axis of symmetry.
Then plug that X-value back into the original equation to solve for Y. That becomes the (x,y) of the Vertex.

5. Graph: x2 – 4x - 5 Find the axis of symmetry: Find the vertex values:
Use the X-value as
middle term in a chart:

7. Minimum and Maximum Values:
The y-coordinate of the vertex of a quadratic function is the maximum value or minimum value obtained by the function.
The graph of f(x) =ax2+bx+c
opens up and has a minimum value when a > 0
(positive “a” – happy parabola)
opens down and has a maximum value when a < 0
(negative “a” – unhappy parabola)

8. Find the minimum or maximum value of x2 - 8x + 2

9. Tonight’s Homework:
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