1.  1.x 2 – 7x -2  2.4x 3 + 2x 2 + 4x – 10  3.3x 4 – 4x 3 + x 2 – x – 6  4.10x – 15  5.6x 3 – x 2 + 8x + 5  6.8x 3 + 20x 2 – 14x – 35  7.x – 7  8.12x 3 + 8x 2  9.(3x – 4)(x + 2)  10.(x – 6)(x + 6)  11.9a 4 – 25b 2  12.Cubic trinomial  13.9x 3 + 6x – 14  14.x 2 – 9  15.6x 4 + 6x 3 + 4x 2 – 5x + 13  16.2x 3 – x 2 – 7x  17.(3x + 4)(2x + 1)  18.3m 2 + 7m – 6  19.(4x + 3)(4x – 3)  20.C

3.  y = a(x – h) 2 + k  Remember that (h, k) is the vertex.  What type of transformation(s) occurred from f(x) = x 2 to g(x) = -2(x – 2) 2 + 4?  Reflection over the x-axis, vertical stretch, translation right 2 and up 4.

4.  ax 2 + bx + c = 0  What does “a” tell you?  Whether the parabola opens up (a > 0) or down (a < 0) and how wide or narrow the parabola is (the closer to zero, the wider the parabola)  What does “c” tell you?  They y-intercept (and it could be the vertex too when b = 0).

9.  y = -4(x – 8)(x – 8) + 5  y = -4(x 2 – 16x + 64) + 5  y = -4x 2 + 64x – 256 + 5  y = -4x 2 + 64x - 251

10.  y = 7(x + 4) 2 – 9  y = 7(x + 4)(x + 4) – 9  y = 7(x 2 + 8x + 16) – 9  y = 7x 2 + 56x + 112 – 9  y = 7x 2 + 56x + 103

11.  g(x) = -2(x – 2) 2 + 4  g(x) = -2(x – 2)(x – 2) + 4  g(x) = -2(x 2 – 4x + 4) + 4  g(x) = -2x 2 + 8x – 8 + 4  g(x) = -2x 2 + 8x – 4