1. 15.1 Characteristics from Vertex Form

2. Warm-Up 1. f(x) = (x – 2)2 + 3 2. f(x) = 2(x + 1)2 – 4
Give the coordinate of the vertex of each function.
1. f(x) = (x – 2)2 + 3
2. f(x) = 2(x + 1)2 – 4
Give the domain and range of the following function.
3. {(–2, 4), (0, 6), (2, 8), (4, 10)}
D:{–2, 0, 2, 4}; R:{4, 6, 8, 10}

3. Direction
Opens Up
Opens Down

4. Domain/Range Domain Range
The domain of a quadratic function is all real numbers.

5. X-intercepts Find by: Examples Table
Substitute 0 for y and do square root method

6. y-intercept
Find by:
Examples
Table
Substitute 0 for x and do the math

7. Max/Min
Max
Min
The minimum (or maximum) value is the y-value at the vertex. It is not the ordered pair that represents the vertex.

8. Intervals of Increase/Decrease
Examples
Use the x- value of vertex
Quadratic Functions will always have one of each

9. End Behavior
Notation
Examples

10. Graph and list everything!

11. Graph and list everything!