Posted by **jill** on Wednesday, April 9, 2014 at 9:35pm.

The height of a soccer ball that is kicked from the ground can be approximated by the function y=-16x^2 +32x where y is the height of the soccer ball on feet x seconds after it is kicked. Graph this function. find the soccer balls maximum height, and the time it takes the soccer ball to return to the ground. How would you graph this?

- math -
**Reiny**, Wednesday, April 9, 2014 at 10:07pm
I will assume you are not taking Calculus, but have studied the quadratic function, and know how to complete the square

y = -16(x^2 - 2x)

= -16(x^2 - 2x + 1 - 1)

= -16( (x-1)^2 - 1)

= -16(x-1)^2 + 16

so the vertex is (1,16)

suggesting that the max height is 16 after 1 second

so it takes 1 second to up and 1 second to come back down, for a total of 2 seconds for the ball to hit the ground again.

graph?

make a table of values of x and y

and plot

http://www.wolframalpha.com/input/?i=plot+y%3D-16x%5E2+%2B32x

## Answer This Question

## Related Questions

- algebra 1 NEED NOW!!! PLEASE HELPPP - The height of a soccer ball that is kicked...
- algebra 1 NEED NOW!!! PLEASE HELPPP - The height of a soccer ball that is kicked...
- math - When a soccer ball is kicked with a vertical speed of 25 m/s its height, ...
- Algebra 1 Answer Evaluation - The height of a soccer ball kicked from the ground...
- math - A soccer ball is kicked upward from the ground and its height (in metres...
- Trig. - Josh kicks a soccer ball with an initial velocity of 18 feet per second ...
- math - Mariano is standing at the top of a hill when he kicks a soccer ball into...
- physics - A soccer ball is kicked with an initial horizontal velocity of 16 m/s ...
- Physics - Initial Statement: A soccer ball is kicked with an initial horizontal ...
- Physics - 2-D kinematics - A soccer ball is kicked with an initial horizontal ...

More Related Questions