Graphing quadratic functions in standard form
Converting a standard form quadratic function to a graph can be accomplished by finding the yintercept, vertex, and xintercepts (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.
yintercept: (0,f(0))
vertex: (b/2a,f(b/2a))
xintercepts: use quadratic formula
Some images made using Geogebra.
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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
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