# data[].attributes.headline
Solving for the Solutions Using the Quadratic Formula

# data[].attributes.subject
Solving for the Solutions Using the Quadratic Formula

# data[].attributes.body
Our roots are {0,3}, which represent where the ball hits the ground on the initial bounce and where it hits again.

# data[].attributes.body
Axis of Symmetry:   x=   -b / 2a

y=   -20/9x^2 + 20/3x

x=   -(20/3) / 2(-20/9)
x=   -(20/3) / (-40/9)
x=   3/2

The axis of symmetry represents the distance from Diana in which the ball reaches it's maxium height.

Plug in the axis of symmetry for the 'x'  value in the quadratic equation.

y=   -20/9x^2 + 20/3x
y=   (-20/9)(3/2)^2 + (20/3)(3/2)
y=   (-20/9)(9/4) + (20/3)(3/2)
y=   -5 + 10
y=   5

Vertex: (3/2 , 5)
The vertex represents the maximum height the tennis ball reaches while bouncing.

# data[].attributes.body
Since a C value is not present, the ball does not go into negative space and the Y-intercept is (0,0)

# data[].attributes.body
vertex: (1.5,5)
roots: (0,0) (3,0)

# data[].attributes.headline
Diana is playing with a tennis ball. She throws it at her feet and it bounces up 5 feet. It then lands 3 feet away from her before rolling away.

# data[].attributes.subject
Diana is playing with a tennis ball. She throws it at her feet and it bounces up 5 feet. It then lands 3 feet away from her before rolling away.