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MATH 1050-003: Quiz 4 There are problems on both sides of each sheet. February 19, 2008 Name: u I.D.: This is a closed book and closed note quiz. No calculators are allowed. Please write neatly in pencil and circle your final solution. You may need the following: f (x) = a(x − h)2 + k, a 6= 0 1 1. a) Find the standard form of the quadratic function (You’ll need to complete the square.) f (x) = x2 − 8x + 16 b) Identify the vertex. c) Determine the x-intercepts. Hint: Use the original quadratic. d) Sketch the graph of the quadratic function with the information found in b) and c). Please label and draw carefully. 2 2. Write the standard form of the equation of the parabola that has the indicated vertex and whose graph passes through the given point. Vertex: (3, 4); point: (1, 2) 3 3. Sketch the graph of the function f (x) = x3 − 3x2 by a) applying the Leading Coefficient Test, b) finding the zeros of the polynomial, c) plotting sufficient solution points, and d) drawing a continuous curve through the points. Please label and draw the graph carefully. 4