Module 3 · Advanced Algebra
Chapter 14: Quadratic Functions
Advanced Math
5 topics
What this chapter covers
The 5 topics below make up Quadratic Functions on the Digital SAT. Click any topic to open its notes, examples and practice test.
Study material & tests
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Formula Reference Sheet
This chapter
Parabola basics
| Standard form | y = ax² + bx + c |
|---|---|
| Opens up / down | a > 0 up, a < 0 down |
| Axis of symmetry | x = −b/(2a) |
| y-intercept | (0, c) |
Vertex
| Vertex form | y = a(x − h)² + k, vertex (h, k) |
|---|---|
| Vertex x | x = −b/(2a) |
| Min / max value | the k-value (min if a>0, max if a<0) |
Digital SAT reference
Area & Circumference
| Circle area | A = πr² |
|---|---|
| Circle circumference | C = 2πr |
| Rectangle | A = ℓw |
| Triangle | A = ½ b h |
Volume
| Rectangular box | V = ℓwh |
|---|---|
| Cylinder | V = πr²h |
| Sphere | V = 4⁄3 πr³ |
| Cone | V = 1⁄3 πr²h |
| Pyramid | V = 1⁄3 ℓwh |
Right triangles
| Pythagorean theorem | a² + b² = c² |
|---|---|
| 30°–60°–90° | sides x : x√3 : 2x |
| 45°–45°–90° | sides s : s : s√2 |
Constants
| Degrees in a circle | 360° |
|---|---|
| Radians in a circle | 2π |
| Angles of a triangle | sum = 180° |
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