Algebra 2: Functions and Graphs
Bridge the gap between basic algebra and higher mathematics. Learn how to transform graphs, work with complex numbers, tame polynomials, and harness logarithms.
Like Duolingo, but for Algebra 2: Functions and Graphs. Tomo turns the whole topic into a game you play five minutes a day, until it actually sticks.
25 levels across 3 sections, about 50 minutes end to end, roughly 10 days at five minutes a day. It moves through The Function Playbook; Parabolas and Polynomial Landscapes; and Powers, Logs, and Rational Curves. It starts from scratch.
Free forever · No credit card · iPhone & Android
Key ideas in Algebra 2: Functions and Graphs
- Each input x and output y pair forms an (x, y) coordinate point on the plane
- Plotting every real number input connects discrete points into a continuous curve
- The overall shape directly reflects the algebraic rule relating inputs to outputs
- Adding or subtracting outside the function changes the output, moving the graph directly up or down
- Adding inside shifts the graph left because an input needs to be smaller to reach the same original value
- Subtracting inside shifts the graph right
- A negative outside multiplier flips the entire graph upside down across the x-axis
- A multiplier between 0 and 1 vertically compresses or flattens the graph
- A multiplier greater than 1 stretches the graph taller and steeper
- Transformations follow algebraic order of operations: multiplication before addition
- Stretches and compressions are evaluated before shifts
- Transformation rules modify inputs and outputs regardless of the base equation
- Parent functions like |x|, x^2, and x^3 serve as base templates that all shift and stretch identically under the same operations
- Modifying the input inside parentheses always controls horizontal position for any function family
- In composition f(g(x)), evaluate the inner function g(x) first
- The resulting output of the inner function becomes the input for the outer function f(x)
You've tried the other tabs
Thirty open tabs. Four facts you actually kept.
You watched. You nodded. By Sunday it was gone.
One answer, then back to scrolling.
Eight weeks. You meant to finish. You didn't.
Tomo gives Algebra 2: Functions and Graphs the Duolingo treatment: levels, streaks, and quick quizzes that test what you just learned. That game loop is what the tabs above never had, so it's the one you actually finish.
Here's what playing it feels like
A real question from this course. Take your best guess.
What happens when you plot every possible real number input for an equation instead of just a few whole numbers?
Get it right to open this lesson and 24 more in the app.
Where Algebra 2: Functions and Graphs takes you
- 1
The Function Playbook
- Shifting and Scaling Graphs
- Composing and Inverting Functions
- 2
Parabolas and Polynomial Landscapes
- Solving and Interpreting Quadratics
- Expanding Numbers with the Imaginary Unit
- Reading Higher-Degree Polynomials
- 3
Powers, Logs, and Rational Curves
- Exponential Rules and Growth Models
- Logarithms as the Inverse of Exponents
- Rational Functions and Discontinuities
3 sections · 8 units · 25 levels. Built to play, not to enroll.
You pick the voice
Algebra 2: Functions and Graphs is taught in the The Professor style: clear, structured, thorough. Want a different feel? In the app you can spin up the same topic in any of Tomo's teaching styles. Same facts, totally different vibe.
More Math on Tomo
Pre-calculus Basics
Bridge the gap between algebra and calculus by mastering the behavior of shapes and numbers. Learn how to predict patterns and understand the math of change.
Algebra for Functions and Modeling
Move beyond basic arithmetic to master the language of functions, complex systems, and the mathematical models that describe the real world.
Algebra: From Equations to Functions
Bridge the gap between basic arithmetic and advanced mathematical modeling. Learn to manipulate complex expressions, solve systems of constraints, and visualize the hidden curves that define our world.
Everyday Algebra in Metric
Rebuild your math confidence from the ground up by turning everyday puzzles into clear algebraic thinking. Learn how equations actually work using kilograms, kilometres, and real budgeting scenarios.
How Logarithms Work
Demystify logarithms by understanding them as power counters and scale shifters. Learn the mental models that make calculation rules second nature while avoiding the algebra traps that trip everyone up.
Precalculus Trigonometry
Bridge the gap between triangle geometry and continuous waves. Learn how sine, cosine, and tangent power circular motion, periodic graphing, and algebraic identities for advanced math.
Start Algebra 2: Functions and Graphs today.
Download Tomo, search Algebra 2: Functions and Graphs, and play your first lesson in under a minute.