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Advanced Algebra 1 Name: __________________ Review Sheet 8.1-8.3 Tell whether each function is quadratic. Explain. 2. 3x 2y 8 1.( 0, 6), (1, 12), (2, 20), (3, 30) ________________________________________ ________________________________________ ________________________________________ ________________________________________ Use a table of values to graph each quadratic function. 3. y 1 x 2 x 2 x 4 y y y 2x2 3 Tell whether the graph of each quadratic function opens upward or downward. Explain. 5.y 3x2 5 6. x2 y 8 For each parabola, a) identify the vertex; b) give the minimum or maximum value of the function; c) find the domain and range. 7. 8. Find the zeros of each quadratic function from its graph. 1. 2. 3 Find the axis of symmetry of each parabola. 4. . 5. 6 For each quadratic function, find the axis of symmetry of its graph. 7.y 3x 2 6x 4 8. y x 2 4x 9. y 4x2 1 x 3 2 Find the vertex of each parabola. 10.y 3x 2 6x 2 11. y 3x 2 12x 10 Graph each quadratic function. Make sure you identify axis of symmetry, vertex, and the direction it opens first! 1. y x 2 4x 4 2. y 2x2 4x 6 0 3. The height in feet of a soccer ball that is kicked can be modeled by the function f(x) 8x2 24x, where x is the time in seconds after it is kicked. Graph this function. Find the soccer ball’s maximum height and the time it takes the ball to reach this height. Then find how long the soccer ball is in the air. maximum height: ___________________________ time to reach maximum height: ______________ time in the air: ______________________________ 12. y x 2 2x 35