MATH 2173 Lecture 22: 4-21-15

e these quadratic equations by factorising. (iii) x -6x 8 0 (v) 2x 4- 5x 3 0 7x-18, o (vi) 2xi x 6-0 (vii) 4x3 3 10 (vii) 6x3 19x t 10 m 0 2. Sketch the following quadratic graphs, showing the points where the graph cuts the coordinate axes in each case. (i) y x2 x-2 (i) y x2 +5x+4. (iv) 2x2 -5x +12 (v) y 6-x-x (vi) 6x2 +x-12 3. Write each of the following quadratic functions in completed square form: (i) x2 2x-3 (ii) x -6x 1 x2 x 1 (iv) 5x (v) 2x2 4x 3 (vi) 3x2 8x -2 4. Solve the following quadratic equations, where possible. (iv) 2 -5x 1230 (i) (v) -5x 3-0 (viii) 4x 10x 5 0 (vii) 4x 12x 9 0

EdExcel Core 1 Quadratic functions Section 1: Quadratic graphs and quadratic equations Exercise Do not use a calculator in this exercise. 1. Solve these qundratic equations by factorising 4x3-0 (iii)-6x8-0 (v) 2x5x +30 (vii) 4x2-3x-10=0 (iv) x-1 (vi) 2x" + _ 6-0 (viis) 6x-19x+10-0 Sketch the following quadratic graphs, showing the points where the graph cuts the coordinate axes in cach case 2. (ii)+5x4 ( y +x-2 (ii) y=x2 + 5x + 4 (iv) y=2x2-5x + 2 (v) y6-x-x (vi) y=6x2 +x-12 3. Write each of the following quadratic functions in completed square f (ii) -6x + 1 (iii) x2+x+1 (iv) (v) (vi) + 5x 2x2+ 4x + 3 3x +8x-2 Solve the following quadratic equations, where possible. (ii) -3x+5-0 (iv) 2x2-5x-12 (vi) 3x2 + x + 1 = (vili) 4x2 +10x+ 4. (i) x2 + 2-2-0 2x2 +x (ii) 2r+x-4 0 (v) -5x-3 0 (vili) 4x +10x+5 vii) 4x2+12x+9=0