1. 2.10-2.11 Quiz: Friday Midterm: March 11
2.10 Graph y = ax2 + c
Quiz: Friday
Midterm: March 11

2. Vocabulary
A quadratic function is a nonlinear (not a line) function that can be written in the standard form y = ax2+ bx + c where a ≠ 0
Every quadratic function has a U-shaped graph called a parabola.

3. Vocabulary
The most basic quadratic function in the family of quadratic functions, called the parent quadratic function, is y = x2 X -2 -1 1 2
Y = 4

4. Parts of a Parabola
The lowest or highest point on a parabola is the vertex.
The line that passes through the vertex and divides the parabola into two symmetric parts is called the axis of symmetry.

5. Graph y = ax2 The coefficient “a” can stretch or shrink the graph.
If “a” is negative then the graph flips upside down.
(Or as I like to call it…makes a SAD face)

6. Example 1:
Graph y = 2x2. Compare the graph with the parent function, y = x2.
You need to make a table of values. X -2 -1 1 2
Y =

8. You Try:
Graph y = 1/2x2. Compare the graph with the parent function, y = x2. X -2 -1 1 2
Y =

9. Example 2:
Graph y = -3x2. Compare the graph with the parent function, y = x2.
You need to make a table of values. X -2 -1 1 2
Y =

11. Graph y = ax2 + c The constant “c” moves the graph up or down.
If “c” is positive it moves the graph up
if “c” is negative it moves the graph down.

12. Example 4:
Graph y = x Compare the graph with the parent function, y = x2.
You need to make a table of values. X -2 -1 1 2
Y =

14. You Try:
Graph y = x2 – 4. Compare the graph with the parent function, y = x2.

16. Homework:
P. 100 # 1-9all, 16, 17, 20, 21