 # Notes Over 9.3 Graphs of Quadratic Functions

## Presentation on theme: "Notes Over 9.3 Graphs of Quadratic Functions"— Presentation transcript:

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.

Notes Over 9.3 Sketching a Quadratic Function Vertex:

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

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

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

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

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

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

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

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.

Notes Over 9.3