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March 16, 2015 Get out a Half Sheet of Paper a) Full First and Last Name b) What you prefer to be called c) Write what you do outside of the school day d) Is there anywhere in particular you need/strongly prefer to sit? e) How did the first two trimesters of Intermediate Algebra Go? f) Is there anything you want to know about me? g) Is there anything else you want me to know about you or that would help me to know about you? 9.1 Identifying Quadratic Functions Day 1 9.1 a - I can graph a quadratic function using a table of values. 9.1 b - I can tell whether a quadratic function opens up or down given an equation. March 16, 2015 We have already studied a graph that makes a straight line, which is called a _________ function. Equation y=mx + b Graph Now we'll look at... QUADRATIC FUNCTIONS YELLOW SHEET Equation Graph y=ax2 + bx + c *must have x to the 2nd power!! *U shaped curve... called a parabola March 16, 2015 Tell whether each function is quadratic. a. y = 5x - 7 b. 7x + y = 4x2 c. x2 + y = x2 + 6x *Hint: get y by itself! Put this first one on the right side of your YELLOW SHEET. Graph each quadratic by making a table of values. 1. y = x2 - 3 x y March 16, 2015 Graph each quadratic by making a table of values. 2. y = -2x2 + 1 y x In number 7 on tonight's homework, you will use x = -4, -2, 0 2, 4 Graph each quadratic by making a table of values. 3. y = ½x2 x y March 16, 2015 Let's look at the three equations that we graphed. How is the second one different? y = -2x2 + 1 y = x2 - 3 y = ½x2 YELLOW SHEET NOTES To determine if a parabola opens up or down... 1.) Write the equation in standard form y=ax2 + bx + c 2.) Look at the value of a (the number in front of x ) a > 0 (positive)... opens upward a < 0 (negative)... opens downward March 16, 2015 YELLOW SHEET EXAMPLE Tell whether the graph of each quadratic opens upward or downward. Explain. 1. 2. 3. 4. A few important vocabulary words... *vertex: highest or lowest point on a parabola