Algebra 67 - Deriving the Vertex Form of a Quadratic Function
Channel: MyWhyU
Category: Education
Tags: why uvertextranslating a graphmathematicsquadratic expressionalgebraquadratictranslating a functiongraph translationparabolafunction transformationgraphing quadratic functionvertex formshifting a graphwhyuprofessor von schmohawkvertical translationhorizontal translationmathquadratic functionstandard formshifting a functiongeneral form
Description: The graph of a quadratic function in a single variable is always a parabola, and when the function is written in vertex form, we can identify the coordinates of the parabola's vertex simply by looking at the function. But how is the vertex form derived and why does it work? The process explored here involves shifting or 'translating' the basic quadratic function "a x-squared".
