An object is thrown into the air. Use GeoGebra to graph the situation using the formula y=−4t2+10t

Question

. What is the maximum height the object will reach in feet?(1 point)
feet
Remaining Attempts : 3

Answer 1

To graph the situation using the formula y = -4t^2 + 10t in Geogebra, you can follow these steps:

1. Go to www.geogebra.org
2. Click on the Graphing Calculator option
3. In the input bar at the bottom, type in y = -4x^2 + 10x
4. Press Enter to graph the equation
5. Adjust the viewing window as needed to see the graph of the parabola

To find the maximum height the object will reach, we need to find the vertex of the parabola. This can be done by calculating the x-coordinate of the vertex using the formula x = -b / (2a) where a = -4 and b = 10.

x = -10 / (2*(-4))
x = -10 / (-8)
x = 1.25

Now, plug this x-value back into the original equation to find the maximum height (y-coordinate) the object will reach:

y = -4*(1.25)^2 + 10*1.25
y = -4*1.5625 + 12.5
y = -6.25 + 12.5
y = 6.25

Therefore, the maximum height the object will reach is 6.25 feet.