![]() The minimum is the lowest point of a graph. The maximum is the highest point of a function and the minimum is the lowest point of a function. ![]() The maximum will yield the largest value of the range. The maximum is the highest point of a graph. A y intercept is a point at which the curve intersects the y-axis. An x intercept is a point at which the curve intersects the x-axis. The intercepts of a curve are the locations where the curve intersects the x and y axes. The factored form of a quadratic function f(x) is f(x)=a(x−r 1)(x−r 2), where r 1 and r 2 are the roots of the function. The parabola is symmetrical about this line. The axis of symmetry of a parabola is a vertical line that passes through the vertex of the parabola. If you were shown only the graph of this quadratic function, how could you determine the maximum height of the football during the kick and how far down the field the football has traveled when it reaches its maximum height?.Use the information in the table to graph the path of the football kick.How far down the field has the football traveled when it reaches its maximum height?.What is the maximum height of the football during the kick?.Round your answers to the nearest hundredth of a yard. Use the quadratic function to calculate the height of the ball as it travels down the field. ![]() The height, in yards, of the football in the air is represented by the variable (y). The variable x represents the distance, in yards, the ball has traveled down the field. The quadratic function y=−0.05x 2+1.5x can be used to represent the path of a football kicked 30 yards down the field.
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