A punter kicked a 41-yard punt. The path of the football can be modeled by y = - 0.035x^2 + 1.4x + 1, where x is the distance (in yards) the football is kicked and y is the height (in yards) the football is kicked. 1. Does the graph open up or down?2. Does the graph have a maximum value or a minimum value?3. Graph the quadratic function. 4. Find the maximum height of the football. im really struggling.

Question

Saul

Mathematics

23 November, 18:27

A punter kicked a 41-yard punt. The path of the football can be modeled by y = - 0.035x^2 + 1.4x + 1, where x is the distance (in yards) the football is kicked and y is the height (in yards) the football is kicked. 1. Does the graph open up or down?2. Does the graph have a maximum value or a minimum value?3. Graph the quadratic function. 4. Find the maximum height of the football. im really struggling.

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Emma Yates · Answer 1

The graph is a parabola and will open downwards.

It will have a maximum value.

To find the maximum value we convert to vertex form:-

y = - 0.035x^2 + 1.4x + 1

y = - 0.035 (x^2 - 40x) + 1

y = - 0.035[ (x - 20) ^2 - 400) + 1

y = - 0.035 (x - 20) ^2 + 15

The maximum height of the ball is 15 yards