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QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.7 The Quadratic Formula EQ: HOW CAN YOU SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA? I WILL SOLVE.

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Presentation on theme: "QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.7 The Quadratic Formula EQ: HOW CAN YOU SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA? I WILL SOLVE."— Presentation transcript:

1 QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.7 The Quadratic Formula EQ: HOW CAN YOU SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA? I WILL SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA.

2 BELL WORK Read 240- 243, fill in the box. EQ: HOW CAN YOU SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA? I WILL SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA. Quadratic FormulaDiscriminant

3 REVIEW 1. Graph -2(x – 2) 2 – 4 2. Graph X 2 + 2x – 8 = 0 EQ: HOW CAN YOU SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA? I WILL SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA.

4 THE QUADRATIC FORMULA You must memorize… EQ: HOW CAN YOU SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA? I WILL SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA.

5 QUADRATIC FORMULA What are the solutions? Use the Quadratic Formula. 2x 2 – x = 4 EQ: HOW CAN YOU SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA? I WILL SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA.

6 QUADRATIC FORMULA What are the solutions? Use the Quadratic Formula. X 2 + 6x + 9 = 0 EQ: HOW CAN YOU SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA? I WILL SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA.

7 QUADRATIC FORMULA Now you try… What are the solutions? Use the Quadratic Formula. x 2 – 4x + 3 = 0 EQ: HOW CAN YOU SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA? I WILL SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA.

8 QUADRATIC FORMULA Now you try… 2x 2 + 5x = 7 EQ: HOW CAN YOU SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA? I WILL SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA.

9 DISCRIMINANT EQ: HOW CAN YOU SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA? I WILL SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA.

10 THINK Why does knowing the discriminant help us? What does it reveal about a quadratic function? EQ: HOW CAN YOU SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA? I WILL SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA.

11 DISCRIMINANT EQ: HOW CAN YOU SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA? I WILL SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA.

12 DISCRIMINANT What is the number of real solutions of -2x 2 – 3x + 5 = 0? EQ: HOW CAN YOU SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA? I WILL SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA.

13 DISCRIMINANT What is the number of real solutions of 2x 2 – 3x + 7 = 0? EQ: HOW CAN YOU SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA? I WILL SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA. Try this with the quadratic equation. Try to factor this.

14 DISCRIMINANT Now you try… What is the number of real solutions of x 2 = 6x + 5? EQ: HOW CAN YOU SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA? I WILL SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA.

15 CLOSURE (On your bell sheet) EQ: HOW CAN YOU SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA? I WILL SOLVE QUADRATIC EQUATIONS BY USING THE QUADRATIC FORMULA.

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