"The shortest path between two truths in the real domain passes through the complex domain."
- Jacques Salomon Hadamard (French Mathematician)

# PreCalculus

## Handbooks

The Algebra Handbook covers numerous areas of study in Pre-Calculus.

## Miscellaneous Topics

• Reflection Property of a Parabola – A 2-page description and proof that lines perpendicular to the directrix of a parabola reflect off the surface of the parabola and meet at its focus.

## Sample Tests and Solutions

The value of reviewing these sample problems and solutions is twofold. The more obvious benefit relates to problems that a student has difficulty solving themselves; a solution is provided. Less obvious is the set of techniques used in our solutions; some of the techniques used on the sample problems may not be taught in the classroom. We concentrate on efficient solutions and shortcuts; so a review of the solved problems may present new techniques that enable a student to be more efficient in their approach to solving problems.