CHECK Your Understanding 1. What characteristics will two parabolas in the family A(x ) = a(x - 3) (x + 4) share? 2. How are the parabolas f(x) = -3(x - 2)2 - 4 and 8(x) = 6(x - 2)2 - 4 the same? How are they different? 3. What point do the parabolas f(x) = - 2x2 + 3x - 7 and 8(x) = 5x2 + 3x - 7 have in common? PRACTISING 4. Determine the equation of the parabola with x-intercept - 4 and 3, and that passes through (2, 7) 0 and 8, and that passes through ( -3, -6) C) V7 and - V7, and that passes through (- 5, 3) 1 - V2 and 1 + V2, and that passes through (2 5. Determine the equation of the parabola with vertex a) (-2, 5) and that passes through (4, -8) b) (1, 6) and that passes through (0, -7) C) (4, - 5) and that passes through ( - 1, - 3) d) (4, 0) and that passes through (1 1, 8) 6. Determine the equation of the quadratic function f(x) = ax2 - 6x - 7 iff(2) = 3x / 7. a) Sketch the graph of f(x) = (x - 2) (x + 6 b). Use your graph to sketch the graph of (x) =