(Solved): #1 The cross-section of an athletic field has a parabolic surface, with the highest point in the ce ...

#1 The cross-section of an athletic field has a parabolic surface, with the highest point in the center for good drainage. Consider the x-axis to be ground level and the y-axis is at the middle of the field. The width of the field is 160 feet and the height of the field at the center is 0.5 feet. A sketch of the parabola is given below. The sketch is not to scale, with the illustrated height at the center much larger than it should. The origin is labeled. y = height of field x = distance from the middle of the field b) (2 points) Find the equation of the parabola which models the height of the field. c) (1 point) How far from the center of the field will the height be 0.2 feet? Round the answer to 2 decimal places.