1. Find the minimum value of the quadratic y = 2x2 - 8x + 8. At what x-value does the minimum occur? State the domain and range of this function. 2. A stone is tossed from a bridge into the river below. Its path is represented by h = -2t2 + 7t + 9, where h is height, in metres, and t is time, in seconds. a. Find the maximum height reached by the stone. b. How many seconds does it take to reach the maximum height? c. How many seconds does it take for the stone to reach the water? 3. Find the minimum value of the quadratic y = 2x2 - 8x + 10 by completing the square. Graph the resulting parabola. 4. Given the quadratic y = 3x2 + 12x - 7, find the inverse of the quadratic. Graph both the original function and the inverse on the same set of axes. State the domain and range of both. 5. Find the number of zeros of each of the following quadratics using the discriminant. Check your answers by factoring. a. y = x4 + 6x +9 b. y = 4x2 + 3x + 1 c. y = 2x2 + 7x + 5 6. Find the equation of the quadratic given its real roots 2 -v3 and 2 +3 which passes through the point (1, -2). 7. Determine the restrictions on the y-intercept so that y = 3x2 + 6x - 1 intersects with a line with slope 2 in more than one place. 8. A quadratic function has roots 3 and - 5, which passes through the point (1, 5). Under what conditions will it intersect with a line of slope -4 once? Twice? Never