Master SAT Advanced Math.
Nonlinear power unlocked.
Advanced Math determines whether your score breaks 700+. Master quadratic vertices, discriminant analysis, polynomial root theorems, and exponential decay models with proven Desmos visual tactics.
Core Advanced Math Subtopics
Deep-dive into each subtopic with concept breakdowns, formula sheets, and hard module practice.
Quadratic Functions & Vertex Form
Finding minimum/maximum values, completing the square, converting standard to vertex form, and axis of symmetry $x = -b/(2a)$.
y = a(x - h)² + kThe Discriminant & Solution Types
Evaluating $b^2 - 4ac > 0$ (2 real roots), $= 0$ (1 root/tangent), and $< 0$ (no real solutions) for parameterized constants.
D = b² - 4acPolynomial Division & Roots
Factoring higher-degree polynomials, polynomial long division, synthetic division, and remainder theorem $f(c) = r$.
P(x) = D(x)·Q(x) + RExponential Growth & Decay
Modeling population growth, radioactive decay, compound interest rates, and interpreting time scaling factors $t/k$.
y = a(1 ± r)^(t/k)Radical & Rational Equations
Solving equations with square roots and fractions, eliminating common denominators, and checking for extraneous solutions.
√(ax + b) = cx + dNon-linear & Line-Parabola Systems
Finding intersection points between a line and a parabola, circles and lines, and setting equal for single-point tangency.
y = ax² + bx + c ∩ y = mx + dInstant Min/Max & Vertex Reading with Sliders
When an SAT question asks for the maximum height of a quadratic projectile, type the equation into Desmos. Tap the vertex point directly to view $(h, k)$ coordinates without expanding or factoring.
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