1. Day 14: Quadratics Goal: To graph a quadratic function using the axis of symmetry, vertex and zeroes. Standard: 9.2.2.3 – Sketch graphs of linear, quadratic and exponential functions, and translate between graphs, tables and symbolic representations. Know how to use graphing technology to graph these functions. Guiding Question: How can I graph a quadratic function? Materials: Pencil, Folder, Student Packet 1

2. Order the Fractions from least to greatest: "To order fractions, they must have a common denominator." Order the Decimals from least to greatest: 15.409, 14.509, 15.4, 14.609 "When ordering decimals compare each place value" Prime Factorization: 32 "What prime numbers multiply to make the number?" Reflection Starters: “I know……” or “I need to work on……” Menta l Math Math Review Day 14 2

3. Access: Find the axis of symmetry: A)y = 4x 2 - 7 B) y = x 2 - 3x + 1 Find the vertex: A) y = x 2 + 4x + 5 B) y = 3x 2 + 2 3

4. Graph the Quadratic Function: Step 1: Find the axis of symmetry Step 2: Find the vertex Step 3: Find the y-intercept Step 4: Find two points on the same side of the axis of symmetry as the point containing the y-intercept. 4

5. Graph: A)y = 3x 2 - 6x + 1 B)y = 2x 2 + 6x + 2 C) y + 6x = x 2 +9 5

6. Try: D) y = x 2 - 2x - 3 E) y = 2x 2 + 2x - 4 F) y = x 2 + 4x - 8 G) y + x 2 + 5x + 2 = 0 6

7. Word Problems: The height in feet of a basketball can be modeled by f(x) = -16x 2 + 32x, where x is the time in seconds after its thrown. Find the basketball's maximum height and the time it takes the basketball to reach this height. Then find how long the basketball is in the air. 7

8. Try: The height in feet of a golf ball that is hit from the ground can be modeled by the function f(x) = -16x 2 + 96x, where x is the time in seconds after the ball is hit. Find the ball's maximum height and the time it takes the ball to reach this height. Then find how long the ball is in the air. 8

9. Work Time: Work through pages 33 and 34 in your packet Exit Slip at: _________ 9

10. Exit Slip: (on a half-sheet of scratch paper) NM: Graph: A)y = -2x 2 - 8x + 4 B) y = x 2 - 8x C) y = 3x 2 + 12x + 9 D) The height in feet of a fireworks shell can be modeled by h(t) = -16t 2 + 224t, where t is the time in seconds after it is fired. Find the maximum height of the shell, the time it takes to reach its maximum height, and the length of time the shell is in the air. Make sure your name is on it, and turn it in! 10