1. Notes Over 9.3 Graphs of Quadratic Functions
Standard form of a Quadratic is:
The graph of a quadratic is a Parabola.
The Vertex of a parabola is the lowest point that opens up, or the highest point that opens down.
The Axis of Symmetry of a parabola is the vertical line passing through the vertex.

2. Notes Over 9.3
Sketching a Quadratic Function
Vertex:

3. The normal graph is from y = x2
Notes Over 9.3
Sketching a Quadratic Function
Since a is –2, it will go down twice as fast as normal.
Vertex:
The normal graph is from y = x2
when x goes out 1, y goes up 1;
when x goes out 2, y goes up 4;
when x goes out 3, y goes up 9
So go down twice as fast as normal

4. Notes Over 9.3 Sketching a Quadratic Function with a Positive a-value
Vertex:

5. Notes Over 9.3 Normal Graph
Sketching a Quadratic Function with a Positive a-value
Vertex:
Normal Graph

6. Notes Over 9.3 Normal Graph
Sketching a Quadratic Function with a Positive a-value
Vertex:
Normal Graph

7. Notes Over 9.3 Sketching a Quadratic Function with a Negative a-value
Vertex:

8. Notes Over 9.3 Normal Graph
Sketching a Quadratic Function with a Negative a-value
Vertex:
Normal Graph

9. Notes Over 9.3 Normal Graph
Sketching a Quadratic Function with a Negative a-value
Vertex:
Normal Graph

10. Notes Over 9.3 Using a Quadratic Model
7. A ball was thrown and followed a path described by: , What was the maximum height (in feet) of the thrown ball?
The maximum height occurred at the vertex.

11. Notes Over 9.3