1. Bell Work
Draw a smile
Draw a frown
Draw something symmetrical

2. Lesson 9.1 Finding the Vertex and Axis of Symmetry for a Parabola

3. Parabola
The shape of a quadratic function.

5. Parabolas throughout the world

6. Draw
Draw or list 2 real life examples of parabolas

7. Axis of Symmetry Intersects the parabola at only one point.
A line that cuts the parabola in half.
Find equation

8. Vertex The point where the axis of symmetry intersects a parabola
A vertex is either a maximum or a minimum of a parabola.

9. This Parabola has a minimum.

10. This Parabola has a maximum.

11. Finding the Vertex and Axis of Symmetry using a Graph.

12. What is the Vertex of the parabola. What is the Axis of Symmetry
What is the Vertex of the parabola? What is the Axis of Symmetry? Is it a Max or min?

13. Bell Work Axis of Symmetry: Axis of Symmetry: Vertex: Vertex:
Min or Max?
Axis of Symmetry:
Vertex:
Min or Max?

14. Finding Vertex and A.O.S. algebraically
9.2
Finding Vertex and A.O.S. algebraically

15. Quadratic Function f(x) = ax2 + bx + c A nonlinear function
The form above is called standard form

16. Parabola
The shape of a quadratic function.

17. Standard Form: ax2 + bx + c
What if “a” is positive?
The parabola has a minimum - or the parabola has a “smiley” face
What if “a” is negative?
The parabola has a maximum - or the parabola has a “frowny” face

19. Finding the vertex using the equation y = x2 - 2x - 5
STEP 1: Determine “a”, “b”, and “c”
a = 1
b = -2
c = -5

20. Finding the vertex using the equation y = x2 - 2x - 5
STEP 2: Find the axis of symmetry using x = (-b/2a)

21. Finding the vertex using the equation y = x2 - 2x - 5
STEP 3: Plug x value back into original equation to solve for y.
x = 1
y = (1)2 - 2(1) - 5 =
= -6
Vertex = (1, -6)