Algebra 2

The parent graphs and how shifts, reflections and stretches move them, with symmetry and even and odd functions.

Quadratics as transformed parabolas, quadratic inequalities, and the complex numbers that give every quadratic its roots.

Polynomial graphs from degree, zeros and multiplicity, division and the factor theorem, and the fundamental theorem of algebra.

Computing with rational expressions, solving rational equations, and graphing rational functions with their domains and asymptotes.

Roots as rational exponents, solving radical equations, and graphing square root and cube root functions.

Building new functions from old ones, by arithmetic, by composition, and by undoing them with inverses.

Transformed exponential graphs, compound interest and e, half life, and judging exponential models against linear and polynomial ones.

The logarithm as the inverse of an exponential, its laws and graph, and using it to solve exponential equations and build models.

Adding up the terms of arithmetic and geometric sequences with sigma notation, finite and infinite.

Solving three-variable systems, fitting a quadratic through three points, and optimizing over a region of inequalities.

Counting sets, unions, arrangements and selections, and the binomial theorem that combinations produce.

Rules for compound events, independence and conditional probability, probability by counting, and long-run frequency.

The normal model and z-scores, and how random samples and their variability let a statistic estimate a parameter.