1. If f (x) =- 2(x + 4)" + 12, find: [8] a) f(0) b) /(9) ()/(5)- 1(3) 2. Given the vertex form, express each equation in standard form. [6] a) y =- (x + 2)' - 8 b) y = 3(x - 8) + 12 3. Graph the following using transformations. [6] a) y =- (x + 2) +4 bly = 2(x - 3) - 5 Page 1 / 2 +4. Convert each of the following to vertex form and state whether there is a maximum/minimum, the vertex, and the axis of symmetry. [12] a) y = x + 8x + 7 bly = 4x - 4x + 17 Max/Min: Max/Min: Vertex: Vertex: A.O.S: A.O.5: 5. Determine if the following relations are linear, quadratic, or neither. [8] X -2 -1 2 0 1 1 2 2 5 X y = 2x + 2 -2 -1 0 22. Solve the following using the quadratic formula. [8] a) x + 4x + 3 = 0 b) 2x + 9x =- 7 3. Determine the nature of the roots without graphing. State how many roots each expression has. [6] 2 a) x - 6x + 9 = 0 b) 6x + 5x - 1 = 0 4. For the quadratic function, f(x) = (x + 2) (x - 6), identify: [6] a) The direction of opening: b) The x-intercepts: c) Whether the vertex is a maximum or minimum: d) The y-intercept:X -1 -5 0 0 This Table of Value shows a function. W 2 4 3 3 4 0 Linear Quadratic ONeither Question 2 (1 point) What are the transformations of, y = (x + 1)2 -3? ORight 1 unit, down 3 units OLeft 1 unit, down 3 units Right 1 unit, up 3 units OLeft 1 unit, up 3 unitsWhat is the equation for the following transformations? . The graph of f (x) = x2 is translated 5 units to the left and translated 7 units down. Of (x) = (x - 5)+7 Of ( x) = (x+5)2-7What is the equation for the following transformations? . The graph of f (3) = x2 is translated 5 units to the left and translated 7 units down. Of (x) = (x-5)-+7 Of ( x ) = (x+5)2- 7