# data[].attributes.body
Belen Szentes, Jack White, Alberto Berlanga Ysunza

# data[].attributes.body
The drone reaches a minimum of about 13.34 inches in 1.5 seconds.

# data[].attributes.body
Now that we know the "x" value of the vertex, we can plug in the value into our graph using "second-trace-value" and allow our calculator to find the "y" value.

# data[].attributes.body
If we find the axis of symmetry, we find the x value of the vertex

# data[].attributes.body
The vertex in this equation represents the lowest point that the drone reached in this situation

# data[].attributes.headline
        You can also get the solutions on the calculator

# data[].attributes.subject
        You can also get the solutions on the calculator

# data[].attributes.headline
This is what the equation looks like when it is plugged into the calcualtor

# data[].attributes.subject
This is what the equation looks like when it is plugged into the calcualtor

# data[].attributes.headline
To Solve the equation we're are going to use the Quadratic Formula

# data[].attributes.subject
To Solve the equation we're are going to use the Quadratic Formula

# data[].attributes.body
(standard form)

# data[].attributes.headline
Plug values into matrices on calculator.....

# data[].attributes.subject
Plug values into matrices on calculator.....

# data[].attributes.body
From looking at the word problem we can see that we are given three points on the graph. (0,9) (0.53,-4) and (3,9).
In order to find the equation using matrices, we must plug in the known values into the following equation.

# data[].attributes.headline
                                 The y-intercept

# data[].attributes.subject
                                 The y-intercept

# data[].attributes.body
The y-intercept represents the drones location at zero seconds (right when the drone gets hit by the board)

# data[].attributes.headline
                       Solving the quadratic Equation

# data[].attributes.subject
                       Solving the quadratic Equation

# data[].attributes.body
Finding the solutions of the equations will tell us at what time(s) the drone crosses the zip line (x-axis).

# data[].attributes.body
Alberto is flying his drone above a green zip line when Belen hits it with a board 9 inches above the zip line. The distance of the drone from the zip line over time can be represented by a quadratic equation where the zip line represents the x-axis. At 0 seconds the drone was located 9 inches above the zip line. At 0.53 seconds the drone was found 4 inches below the zip line and at 3 seconds the drone returns to 9 inches