Quadratic Models

Quadratic Formula:

y = ax^2 + bx + c

(0,c) is the y -intercept for this formula (where the graph crosses the y-axis)

Vertex:
The vertex of the parabola is the maximum or minimum of the curve.

Roots/Zeros:
The roots or zeros of the graph is where the parabola crosses the x-axis.

Sample Quadratic Problem:

A diver on a 3 meter high spring board jumps at an upward velocity of 10 meters/second. Gravity is pulling the diver down into the water. Write a function for height, h, in terms of time, t.

Gravity is -4.9 m/s^2 or -16 m/s^2

h = -4.9t^2 + 10t + 3