1. Do Now 4/12/10 Copy HW in your planner.
Text p. 632, #3-5, 12 – 32 multiples of 4, #40
In your notebook, define the word LINEAR in your own words. Then explain how to graph a linear equation/function.

2. Chapter 10 “Quadratic Equations and Functions”
(10.1) Graph y = ax² + c
(10.2) Graph y = ax² + bx + c
(10.3) Solve Quadratic Equations by Graphing
(10.4) Use Square Roots to Solve Quadratic Equations
(10.6) Solve Quadratic Equations by the Quadratic Formula

3. Objective
SWBAT graph y = ax² + c

4. Section 10.1 “Graph y = ax² + c”
Quadratic Function
A nonlinear function that can be written in the standard form y = ax² + bx + c where a = 0.
The graph of a quadratic function is in the form of a U-shape and called a parabola.

5. Graphing: y = ax² + c y = x² y-axis x-axis Vertex- Axis of Symmetry-
“Parent
Quadratic
Function” x y 1 1 2 4 3 9 -1 1 -2 4
x-axis -3 9
Vertex-
the lowest or
highest point of the parabola
Axis of Symmetry-
the line that divides a
parabola into 2 symmetric parts

6. Graphing: y = ax² + c y = 3x² x-axis y-axis x y 1 3 2 12 -1 3 -2 12
“Parent Quadratic
Function” y = x² x y 1 3 2 12 -1 3 -2 12
How does y = 3x² differ from the parent function y = x²?
x-axis
y-axis

7. Graphing: y = ax² + c x-axis y-axis y = 3x² y = 3x²– 3 x y x y -3 1 3
“Parent Quadratic
Function” y = x²
y = 3x²
y = 3x²– 3 x y x y -3 1 3 1 2 12 2 9 -1 3 -1 -2 12 -2 9
x-axis
y-axis

8. Graphing: y = ax² + c y = -1/4x² x-axis y-axis x y 1 -1/4 2 -1 4 -4 6
“Parent Quadratic
Function” y = x²
y = -1/4x² x y
x-axis 1
-1/4 2 -1 4 -4 6 -9 -1
-1/4 -2 -1 -4 -4
y-axis -6 -9
y = -1/4x²

9. Key Concept
Open your textbook to page Copy the “Key Concept” box into your notes.

10. Cumulative Test Chapters 1-9
Homework
Text p. 632, #3-5, 12 – 32 multiples of 4, #40

11. NJASK7 Preview April 27th – April 30th - Tuesday to Friday
Language Arts –
Tuesday, April 28th: 105 minutes
Wednesday, April 29th: 110 – 130 minutes
Mathematics –
Thursday, April 30th: 50 minutes
Friday, May 1st: 70 minutes

12. NJASK7 Mathematics 3 types of questions (1) Multiple Choice
(2) Short Constructed Response (no partial credit)
(3) Open-Ended (partial credit given)
Scored 3, 2, 1, 0.