1. Write a quadratic equation for the parabola that passes through the point (2, -3) with roots (-6,0) and (4,0). 2. Mitzu shoots an arrow from an initial height of 2 meters. The arrow reaches its maximum height of 20 meters after it has flown a distance of 60 meters. a. Write a quadratic function to represent the height of the arrow as a function of its distance. b. Determine the height of the arrow after it has flown a distance of 100 meters. 3. Use your knowledge of reference points to write an equation for the quadratic function that has a vertex at (4, -3) and passes through (6,-1). 4. Write a quadratic equation that passes through the points (-2, 8), (1,14), and (0,10).