1 Select the graph of the quadratic function (x) = 4 - x2. Identify the vertex and axis of symmetry. Vertex: (0,4) Axis of symmetry: y-axis Vertex: (0,2) Axis of symmetry: y-axis Vertex: (0,5) Axis of symmetry: y-axis Vertex: (0,3) Axis of symmetry: y-axis QUESTION 2 Select the graph of the quadratic function (x) = x 2 + 3. Identify the vertex and axis of symmetry. Vertex: (0,4) Axis of symmetry: y-axis Vertex: (0,5) Axis of symmetry: y-axis Vertex: (0,1) Axis of symmetry: y-axis Vertex: (0,3) Axis of symmetry: y-axis QUESTION 3 Determine the vertex of the graph of the quadratic function QUESTION 4 Determine the x-intercept(s) of the quadratic function (x) = x2 + 4x - 32 (-4,0), (8,0) (0,0), (7,0) (4,0), (-8,0) (0,0), (-7,0) no x-intercept(s) QUESTION 5 Write a polynomial that fits the description. A fifth-degree polynomial with leading coefficient 4 1024x5 + 3x + 1 4x5 + 3x + 1 4x4 + 3x3 + 4x2 + 5x + 1 6x5 + 3x + 1 x5 + 4 QUESTION 6 Perform the operation and write the result in standard form. (3x2 + 5) - (x2 - 4x + 5) 3x2 + 4x 2x2 + 4x + 5 2x2 - 4x 2x2 + 4x 2x2 + 4x - 5 QUESTION 7 Multiply or find the special product. (x+4)(x+9) x2 + 13x x2 + 4x + 36 x2 + 36 x2 + 13x + 36 x2 + 13x + 9 QUESTION 8 Factor out the common factor. 8x3 - 104x 8x3(1-13x) 8(x3-13x) 8x2(x-13) x(8x2-104) 8x(x2-13) QUESTION 9 Factor the Trinomial. x2 + 14x + 45 (x-5)(x-9) (x+5)(x-9) (x+5)(x+9) (x-5)-(x-9) (x-5)(x+9) QUESTION 10 Determine whether the value of x=0 is a solution of the equation. 5x-3 = 3x+5 yes no QUESTION 11 Solve the equation and check your solution. 67x - 24 = 3x + 8(8x-3) 3 67 -3 -67 All real numbers QUESTION 12 Solve the quadratic equation by factoring. x2 - 6x + 5 = 0 -1,5 -1,-5 1,-5 1,5 6,5 QUESTION 13 Solve the equation and check your solution. (If not possible, explain why) 8 7/17 15/8 12 15 QUESTION 14 Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m. Sketch the line. y=6x+6 y=6x+6 y = -6x-6 y = -2x - 6 QUESTION 15 Evaluate the function 1/8 1/6 1/4 1/7 1/5 QUESTION 16 Does the table describe a function? yes no QUESTION 17 Find the domain of the function. All real numbers x Non-negative real numbers x such that x 0 Non-negative real numbers x All real numbers x such that x<0 all real numbers x such that>0 QUESTION 18 at q(3) Find the zeroes of the function algebraically. (x) = 2x2 - 3x - 20 -5/2, 4 -5/2, -4 -2/5, 4 5/2, -4 5/2, 4 QUESTION 19 Find (f+g)(x) (x) = 2x - 4, g(x) = 6 - x 3x - 2 2x - 2 2x + 2 3x + 2 x+2 QUESTION 20 Find g f (x) = x3, g(x) = x - 1 x3 - 1 x3 (x - 1)3 (x3 + 1) (x + 1)3