QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.5 Quadratic Equations EQ: HOW CAN YOU SOLVE A QUADRATIC...

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QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.5 Quadratic Equations EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY FACTORING? I WILL SOLVE A QUADRATIC EQUATION BY FACTORING.

Transcript of QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.5 Quadratic Equations EQ: HOW CAN YOU SOLVE A QUADRATIC...

Page 1: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.5 Quadratic Equations EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY FACTORING? I WILL SOLVE A QUADRATIC EQUATION.

EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY FACTORING? I WILL SOLVE A QUADRATIC EQUATION BY FACTORING.

QUADRATIC FUNCTIONS AND

EQUATIONSCh. 4.5Quadratic Equations

Page 2: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.5 Quadratic Equations EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY FACTORING? I WILL SOLVE A QUADRATIC EQUATION.

EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY FACTORING? I WILL SOLVE A QUADRATIC EQUATION BY FACTORING.

BELL WORK

1. What is the expression in factored form?

5x2 – 18x – 8

2. Read over page 226 to fill in the box.

Zero of a Function

Page 3: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.5 Quadratic Equations EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY FACTORING? I WILL SOLVE A QUADRATIC EQUATION.

EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY FACTORING? I WILL SOLVE A QUADRATIC EQUATION BY FACTORING.

REVIEW

1. What is the graph of y = (x – 2)2 – 3 (Vertex Form)

2. What is the graph of -3|x| + 4? (Vertex Form)

3. What is the graph of x2 + 2x + 3? (Standard)

Page 4: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.5 Quadratic Equations EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY FACTORING? I WILL SOLVE A QUADRATIC EQUATION.

EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY FACTORING? I WILL SOLVE A QUADRATIC EQUATION BY FACTORING.

RANDOMNESS…

•Pass out take home quiz (this is DUE THURSDAY)

•Reminder- Piecewise Functions from this past Thursday is DUE TOMORROW. If you need help, you can see me during PH.

•Pass out ID cards.

Page 5: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.5 Quadratic Equations EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY FACTORING? I WILL SOLVE A QUADRATIC EQUATION.

EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY FACTORING? I WILL SOLVE A QUADRATIC EQUATION BY FACTORING.

ESSENTIAL UNDERSTANDING

Page 6: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.5 Quadratic Equations EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY FACTORING? I WILL SOLVE A QUADRATIC EQUATION.

EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY FACTORING? I WILL SOLVE A QUADRATIC EQUATION BY FACTORING.

SOLVING A QUADRATIC BY FACTORING

Page 7: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.5 Quadratic Equations EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY FACTORING? I WILL SOLVE A QUADRATIC EQUATION.

EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY FACTORING? I WILL SOLVE A QUADRATIC EQUATION BY FACTORING.

SOLVING A QUADRATIC BY FACTORING

Page 8: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.5 Quadratic Equations EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY FACTORING? I WILL SOLVE A QUADRATIC EQUATION.

EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY FACTORING? I WILL SOLVE A QUADRATIC EQUATION BY FACTORING.

SOLVING A QUADRATIC BY FACTORINGNow you try…

Page 9: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.5 Quadratic Equations EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY FACTORING? I WILL SOLVE A QUADRATIC EQUATION.

EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY FACTORING? I WILL SOLVE A QUADRATIC EQUATION BY FACTORING.

THINK

What is the difference between asking you to factor this equation, and asking for the solutions of this equation?

X2 + 3x + 2

Page 10: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.5 Quadratic Equations EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY FACTORING? I WILL SOLVE A QUADRATIC EQUATION.

EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY FACTORING? I WILL SOLVE A QUADRATIC EQUATION BY FACTORING.

SOLVING A QUADRATIC BY GRAPHING

Page 11: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.5 Quadratic Equations EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY FACTORING? I WILL SOLVE A QUADRATIC EQUATION.

EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY FACTORING? I WILL SOLVE A QUADRATIC EQUATION BY FACTORING.

SOLVING A QUADRATIC BY GRAPHING X2 + 6x + 8 = 0

Page 12: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.5 Quadratic Equations EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY FACTORING? I WILL SOLVE A QUADRATIC EQUATION.

EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY FACTORING? I WILL SOLVE A QUADRATIC EQUATION BY FACTORING.

SOLVING A QUADRATIC BY GRAPHING Now you try…

What are the solutions?

x2 – 2x – 24 = 0

Page 13: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.5 Quadratic Equations EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY FACTORING? I WILL SOLVE A QUADRATIC EQUATION.

EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY FACTORING? I WILL SOLVE A QUADRATIC EQUATION BY FACTORING.

EXIT TICKET

(On your bell sheet)

Describe what the zero of a function is. How can you use this information to help you graph a quadratic

function?