SL 2.6—Quadratic functions

Syllabus
First assessment 2021
Objective
—
Level
HL

Move between quadratic forms to expose meaning

Move between quadratic forms to expose meaning.

Standard, factorized and vertex forms reveal different features: intercept, roots, and vertex/axis.

Worked example
x²−6x+5=(x−1)(x−5)=(x−3)²−4.

Worked example
Which form shows roots immediately? factorized form.

Common boundary
Do not read the vertex from the constant term in standard form.