MCFBM Grade 1 i U/C Moth Name: Date: Unit 2: Quadratic Exgessions 1. Expand and simplify each of the following. a) y=2(3x4) 9 b) y =(x-3)(x.6) 9 2. Determine the roots of each quadratic function by factoring. Don't forget to SOLVE once you've factored. a) y=xz+5x+6 9 b) y=4x264 e c) y=18x2+30x+8 9 Unit 3: Quadratics in Factored Form 1. A rectangular enclosure has an area in square metres given by A(w) =2'Iv2 +36w, where w is the width of the rectangle in metres. 7 a) Solve algebraically to determine the width that would create an enclosed space of 130 m2. 9 Hint: solve by factoring b) How much space would be enclosed if the width was 6 metres? 9 MCF3M - Grade 11 U/C Math Name: Date: Culminating Task - Day 1 Quadratics: Transformations, Expressions & Factored Form 45 ANSWER ALL QUESTIONS IN THE SPACE PROVIDED. SHOW ALL WORK FOR FULL MARKS. Unit 1: Quadratic Transformations & Function Notation 1. For the function g(t) =212 -6t + 5, determine each of the following: a) g(-1) 0 b) 8(3x) 2 2. Describe the following transformation using words such as vertical stretch/compression, horizontal/vertical shifts, direction of opening and reflection in the x-axis. f (xx) = -7(x-4)2-3 3. Write the equation of the parabola in vertex form that satisfies the following conditions. . Opens Up . Same shape as y=~x2 f (x ) = Vertex at (-2, -3) 4. For the function f(x) =-2(x+4) +3 determine: a) Vertex: b) Axis of Symmetry: c) Max or Min Value: d) Domain: e) Range: f) Graph the function 3 Use the step pattern or mapping notationMCF3M - Grade 11 U/C Math Name: Date: 2. Graph the function y= x -2x -8, by finding the: a) the roots, 2 b) the axis of symmetry, 0 c) the y-intercept and it's reflection point, y-intercept: reflection point: d) the optimal value, 2 e) the vertex