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10.2: Quadratic Functions Objective- To graph quadratic functions of the type y = ax² + bx + c and quadratic inequalities. * * Graph of the Quadratic Function * * The graph of y = ax² + bx + c has the line x = b as it’s __________________. 2a The x-coordinate of the vertex is found by x = ___________ Example 1: Graph each function. a.) y = 3x² + 6x + 1 b.) f(x) = x² - 6x + 8 Example 2 Real World Problem Solving: Fireworks- Suppose a particular star is projected from an aerial firework at a starting height of 610 ft with and initial upward velocity of 88 ft/s. How long will it take for the start to reach it’s maximum height? How far above the ground will it be? **Use the falling object function: h = -16t² + v 0 + h 0 ; where v 0 is initial velocity and h 0 is the initial height. Symbol vs. Style ≥;≤ >;< Example 3: Graph the Quadratic Inequalities. a.) y > -x² + 6x - 5 b.) y ≤ x² + 2x - 5