2. For the function below, find the direction of opening, the equation for the axis of symmetry, and the y-intercept. Use this information to sketch the graph. y = -2x 2 + 8x – 3 How could we find the vertex?

3. By hand: Find the AOS, then plug in to find the y-value of the vertex. In the calculator: Graph the function, then press 2 nd TRACE 3 (min.) or 4 (max.)

4. y = -2x 2 + 8x – 3

5. y = 3x 2 – 12x + 11 y = -x 2 – 4x – 1

7. Work with your partners to complete the investigation at the top of your notes.

8. When a>1, the graph stretches (gets narrower) When 0<a<1, the graph compresses (gets wider)

9. Complete p. 257 (1-4) in your workbook

10. 1. C 2. G 3. D 4. F

11. What does it mean to solve the equation 4x – 1 = 7? How would you solve it? How might we solve the equation x 2 – 2x = 15?

12. Our goal is to find the x-values that make an equation true. This was simple for linear equations, but quadratics require a little more effort.

13. Graphing Factoring (yay!) Completing the square Quadratic formula We will spend about a day on each of these!

14. How are the following terms related? Solution Root Zero x-intercept How many do we expect for quadratics?

15. What is another word for x-intercept?

17. Sometimes it is difficult to determine the exact solutions to a quadratic equation. Fortunately, our calculators can help.

18. To find the solutions/roots/x-intercepts/zeros: Step 1: Set Equation = 0 Step 2: Let Y1 = 0 Step 3: Let Y2 be the quadratic portion of the equation. Step 4: Press Graph Step 5: Press Trace to one of the x – intercepts Step 6: Press 2 nd calc, 5, Enter, Enter, Enter. Step 7: Repeat 5 – 6 for other intercept

19. x 2 – 2x = 15 x 2 + 12 = 0

20. 7x 2 + 4x – 9 = 0 z 2 + 7z = -10 x 2 = 10x – 24