1. Sec. 11-1 Graphing Quadratic Functions

2. Graph the following equations on 1 piece of graphing paper y = x + 1 y = 2x + 4

3. Important terms The shape of a _____________ is like an ________. Picture: Parabolas are modeled by ___________ __________ of the form ______________.

4. Quadratic Function Words: A quadratic function is a function that can be described by an equation of the form ______________ where ______. Models:

5. Example: Graph the quadratic function by making a table of values. y = x 2 + 1

6. Graph the quadratic function by making a table of values. y = -x 2

7. A parabola’s ___________ is its lowest point. A parabola with a _________ coefficient of its quadratic term will have one of these. Example:Picture: A parabolas ____________ is its highest point. A parabola with a _________ coefficient of its quadratic term will have one of these. Example:Picture:

8. Your Turn! 1. y = x 2 + 62. y = -2x 2 - 1

9. More important terms The maximum or minimum point of a parabola is called the ___________. The vertical line containing the vertex of a parabola is called the ______ ___ _____________. Picture:

10. Equation for Axis Of Symmetry Determining the Vertex of a Parabola The equation for the axis of symmetry: To determine the vertex of a parabola by plugging in the x value from the line of symmetry and solving for y.

11. y = x 2 – 4x – 1. A.Find the equation of the axis of symmetry B. Find the coordinates of the vertex of the parabola.

12. C. Graph the Function.

13. Use characteristics of quadratic functions to graph y = -x 2 + 2x – 3. A.Find the equation of the axis of symmetry B. Find the coordinates of the vertex of the parabola. C. Graph the Function.

14. y = -x 2 + 2x – 3. A. Find the equation of the axis of symmetry B. Find the coordinates of the vertex of the parabola.

15. y = -x 2 + 2x – 3. C. Graph the Function.

16. A football player throws a short pass. The height y of the ball is given by the equation y = -16x 2 + 8x + 5 where x is the number of seconds after the ball was thrown. What is the maximum height reached by the ball?

17. If you graph the function for the height of a football it looks like this

18. HOMEWORK This is a change from the homework board!! Practice 11 – 1 PLUS Worksheet Titled Graphing Quadratic Equations – SIDE 1