1. Fri 12/11 Lesson 4 – 1 Learning Objective: To graph quadratic functions Hw: Graphing Parabolas Day 1 WS

2. Algebra II

3.  To graph quadratic functions  To determine the vertex & axis of symmetry of a parabola  To determine extreme values & whether it’s a max or min of a parabola  To determine x & y – intercepts of a parabola

4. Graph is a parabola

5.  Vertex : (h, k)  Axis of Symmetry : x = h  Extreme Value – y-value of vertex

6. If a > 0 (positive)  Opens up  Has a minimum If a < 0 (negative)  Opens down  Has a maximum

7. x – intercept – a.k.a. root, zero, solution Where graph crosses the x - axis Plug in y = 0 & solve for x May have to factor or quadratic formula! y – intercept – plug in x = 0 & solve for y Where graph crosses the y - axis

9. xy –2 –1 4 1 1 2 1 4 V( 0 0)

10. a = –2  Opens down Vertex: (– 1, 2) AoS: x = –1 Max Max/Extreme Value of 2

11. xy –3 –2 –6 0 0 1 0 V(–1 2)

12. a = 2  Opens up Vertex: (– 3, 0) AoS: x = –3 Min Min/Extreme Value of 0

13. xy –5 –4 8 2 -2 2 8 V(–3 0)

15. xy –5 –4 5 2 -2 2 5 V(–3 1)

17. xy –2 –1 -3 3 1 2 3 V( 0 5)

22. xy 2 3 1 2.5 5 6 1 V(4 3)