Posted by **Anonymous** on Wednesday, December 26, 2012 at 7:40pm.

1)When Twinkle Toes Tony kicked a football, it landed 100ft from where he kicked it. It also reached a height of 125 ft. Write an equation that, when graphed, will model the path of the ball from the moment it was kicked until it first touched the ground.

2) A new skateboarder's ramp just arrived at Bungey's Family Fun Center. A cross -sectional view shows that the shape is parabolic. The sides are 12 ft high and 15 ft apart. Write an equation that, when graphed, will show the cross section of this ramp.

- Algebra 2 .. -
**MathMate**, Wednesday, December 26, 2012 at 8:04pm
Both problems require to graph the vertex.

1. we know that the parabola passes through the following points: (0,0), (50,125),(100,0).

Using the standard formula, where (h,k) represent the coordinates of the vertex, we have h=50, k=125, and the parabola is:

y=a(x-h)^2+k=a(x-50)^2+125

Since the parabola passes through (0,0), we have

0=a(0-h)^2+k = ah^2+k = 2500a+125

=> a=-125/2500=-1/20

So parabola is

y=-(x-50)^2/20+125

(2) can be solved similarly.

## Answer This Question

## Related Questions

- Physics - A football kicked with an initial speed of 23.1m/s reaches a maximum ...
- Math - A football is kicked into the air. Its height in meters after t seconds ...
- Physics - A football is kicked from the ground at 27 m/s at an angle of 42 ...
- Physics - A football is kicked from the ground at 27 m/s at an angle of 42 ...
- math - a soccer ball is kicked from the ground. after travelling horizontal ...
- math - A soccer ball is kicked upward from the ground and its height (in metres...
- science - A soccer ball is kicked with an initial speed of 8.4 m/s in a ...
- physics - A football is kicked 66.6 meters. If the ball is in the air 5.39 s, ...
- physics - A football is kicked 66.6 meters. If the ball is in the air for 5.39 ...
- Science :) - A football is kicked from the ground at 27 m/s at an angle of 42 ...

More Related Questions