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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. Chapter 10 “Quadratic Equations and Functions”. (10.1) Graph y = ax ² + c
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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.
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
Objective • SWBAT graph y = ax² + c
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.
Graphing: y = ax² + c y-axis y = x² “Parent Quadratic Function” 0 0 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
Graphing: y = ax² + c y = 3x² y = 3x² “Parent Quadratic Function” y = x² 0 0 1 3 2 12 -1 3 -2 12 How does y = 3x² differ from the parent function y = x²? x-axis y-axis
Graphing: y = ax² + c y = 3x² -3 y = 3x² “Parent Quadratic Function” y = x² y = 3x² y = 3x²– 3 0 0 0 -3 1 3 1 0 2 2 12 9 -1 3 -1 0 -2 12 -2 9 x-axis y-axis
Graphing: y = ax² + c “Parent Quadratic Function” y = x² y = -1/4x² 0 0 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
Key Concept • Open your textbook to page 630. Copy the “Key Concept” box into your notes.
Homework Cumulative Test Chapters 1-9 Text p. 632, #3-5, 12 – 32 multiples of 4, #40
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
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.