1. Chapter 5.1/Day 1 Quadratic Functions in Quadratic Form Target Goals: 1. Write/graph equations in quadratic form 2. Identify the vertex, axis of symmetry, and direction of opening.

2. OPENER/Review: Graph VERTEX: AXIS of SYMMETRY: DIRECTION of OPENING: UP!

3. What are QUADRATIC functions? Functions with an x 2 term in it. Functions with a 2 as the highest exponent on the variable.

4. Which are QUADRATIC functions?

5. 2 Forms for Quadratic Functions Quadratic FormVertex Form TODAY!!! TOMORROW!!!

6. QUADRATIC FORM: Quadratic Term Linear Term Constant Term The graph of a quadratic function is called a PARABOLA + Quadratic Term - Quadratic Term

7. QUADRATIC FORM: AXIS of SYMMETRY : VERTEX:The high/low point of the graph. The vertex is ALWAYS on the axis of symmetry! Substitute the axis of symmetry number back in for x and solve for y.

8. PRACTICE: Identify the quadratic term, the linear term, and the constant term of each function below. Quadratic Term Linear Term Constant Term Quadratic Term Linear Term Constant Term

9. PRACTICE: Write the function in quadratic form. Could you do this on the HW? 3 2 1

10. Graphing Quadratic Functions Find the following if possible and use to graph: ▫y-intercept ▫Axis of symmetry ▫Vertex ▫Opens up or down? ▫Plot a point and reflect over the axis of symmetry

11. Ex 4) Graph: y –intercept: (0, #) Axis of Symmetry: Vertex:

12. Ex 5) Graph Do this one on your own. Check graph with a neighbor and reach a consensus. Call me over to check it.

13. “Fist of 5” 15

14. Target Goals Accomplished? “Write/graph equations in quadratic form.” ▫Ex’s 3, 4, 5 “Identify the vertex, axis of symmetry, and direction of opening.” ▫Ex’s 3, 4, 5