Graphing quadratic functions in standard form

Converting a standard form quadratic function to a graph can be accomplished by finding the y-intercept, vertex, and x-intercepts (if they exist) and fitting a parabola to those points. It is easy to find these points when a quadratic function is in Standard Form because they can all be found by plugging a, b, and c into particular formulas.

y-intercept: (0,f(0))
vertex: (-b/2a,f(-b/2a))
x-intercepts: use quadratic formula

Some images made using Geogebra.


#StandardForm
#GraphingQuadratic
#GraphParabola
#StandardFormtoGraph
#Algebra
#JoeCMath

0:00 Introduction
0:35 What the value of "a" tells you
0:40 General points we can get from stand form quadratic
1:30 Example 1
5:08 Example 2
7:16 Pr(Joe Happy Today) LEQ Pr(You Subscribed) LEQ 1