Precalculus

Shifts, stretches, reflections, the combined form a·f(x−h)+k, and piecewise graphs.

End behavior, zeros and the Factor Theorem, multiplicity, division and the Remainder Theorem.

Vertical asymptotes, holes, horizontal and slant asymptotes, and complete graphs.

Growth and decay, compound interest and e, logs as inverses, and exponential/log equations.

Radians, sine and cosine as coordinates, special angles, and reference angles in all quadrants.

The sine wave, amplitude/period/shifts, fundamental identities, and solving trig equations.

Circles, ellipses, parabolas with foci, hyperbolas, and classifying second-degree equations.