Digital SAT · Math
Quadratic & Exponential Functions on the Digital SAT: All Question Types
Quadratic and Exponential Functions is the heart of the Advanced Math domain. Quadratic questions ask you to solve equations, factor, and read a parabola's vertex, zeros, or direction, while exponential questions model growth and decay where a quantity multiplies by a fixed factor each step. The built-in Desmos calculator is especially powerful here: it finds roots, marks the vertex, and graphs an exponential curve, so many questions that look algebra-heavy become a quick read of the graph. This is a frequent and high-difficulty skill. The recurring decisions are choosing the right form of a quadratic for what is asked, vertex form for the vertex and factored form for the zeros, and reading whether an exponential situation grows or decays.
College Board skill: Advanced Math: Nonlinear functions
How Quadratic & Exponential Functions is tested
- how often it appears
- ~7 per test how often it appears
- typical difficulty
- Medium to hard typical difficulty
- practice questions in our bank
- 334 practice questions in our bank
Pick the right tool
For quadratics, choose factoring, the formula, or the vertex form. For exponentials, identify the base as growth or decay.
Frequency and difficulty come from this skill's questions across our assembled full-length Digital SAT forms; the practice count is how many drills of these types are in our bank.
3 question types in Quadratic & Exponential Functions
Absolute value is distance from zero, so two numbers, one positive and one negative, usually satisfy it.
A quadratic carries an x-squared term and usually has two solutions, the x-values that make it zero.
Pair a line with a curve and the solutions are wherever they cross.
Common questions
Should I use Desmos for quadratics?
Often yes. Desmos graphs the parabola and marks the zeros and vertex, so questions about roots or the vertex become a direct read. Solving by hand is still fine for simple factoring.
Which form of a quadratic should I use?
Match the form to the question. Factored form shows the zeros, vertex form shows the vertex and the maximum or minimum, and standard form shows the y-intercept. Choosing the right form saves algebra.
How do I recognize exponential growth versus decay?
Look at the multiplying factor. A factor greater than one grows, and a factor between zero and one decays. The starting value is the amount when the input is zero, before any growth or decay.
Practice Quadratic & Exponential Functions the way it is tested
Start with the free 16-question diagnostic, then drill any of these types with step-by-step reasoning.