Quadratic equation parabola algebra word problem | vertex, factoring polynomial, quadratic formula

A quadratic equation parabola shape application word problem solution is shown. We punt a football into the air to and track its height as a function of time. The general form of a quadratic function is shown, we solve a system of equations using the elimination method, the vertex is calculated, we use factoring of the polynomial, and finally the quadratic formula is used.

We use the texas instruments calculator TI-84 to show the trajectory. The graphing utility is and table of values are used.

This is an excellent practice problem of solving quadratic equations for any algebra or algebra 2 student.

We also discuss how there is a minimum of 3 points needed to solve a second degree polynomial.

0:00 Introduction
1:17 Statement of the Problem
2:13 Sketch of Problem, Label Axes and known values
4:15 a) Independent (x) and Dependent (y) variables
5:48 b) Table of values, sketch graph, show scale and units
9:30 c) Graphing calculator, find coeffiecients a, b, & c
21:53 d) Vertex coordinates, time & height, highest point
25:48 e) How long above 20 ft? x time interval, y = 20 ft or above
31:20 f) Time hit ground? x time interval, y = 0
36:18 g) Domain in time (x) and Range in height (y)
37:36 Review of the problem steps
42:02 Minimum 3 points to find a second degree polynomial.
44:06 Please subscribe!

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