Beautiful Functions vs MathScope

Functions make sense when you can see them. Beautiful Functions turns every change in an equation into an immediate change on the graph. Move a slider, watch the curve respond, and understand what each parameter actually does - before memorizing a rule or solving an exercise. NOT JUST A GRAPHING CALCULATOR This is a visual learning environment designed to show how functions work. Watch a line cross a parabola twice, become tangent, then miss it completely. See a function reflect into its inverse. Switch the same parabola between Standard, Vertex, and Factored forms. Change amplitude, frequency, and phase, and watch every wave transform. EXPLORE WITH PURPOSE Use roots, intercepts, vertices, symmetry, extrema, inflection points, and asymptotes as visual guides instead of isolated definitions. Collapse the graph when you want to focus on an explanation, then bring it back to test your intuition. START FREE Start with Linear, Quadratic, Cubic, and Logarithmic Functions. Pro unlocks: • Linear + Quadratic • Exponential Functions • Trigonometric Functions • Function Transformations • Rational Functions • Absolute Value Functions • Inverse functions and slope relationships • Vertex and Factored form editing One-time purchase unlocks every Pro screen and feature. No subscription. Built for high school and university students, teachers, tutors, parents, and anyone who wants to understand functions instead of memorizing them. Download Beautiful Functions and see what equations mean.

MathScope turns equations into graphs you can see and play with. Type a formula and its graph appears instantly; drag a slider and watch it change. From a textbook parabola to a Klein bottle, it all renders smoothly at your fingertips. Free to download: graph y = f(x) and implicit curves, plot 3D surfaces z = f(x, y), animate parameters with sliders, mark zeros and extrema, and explore part of the gallery at no cost. Upgrade to MathScope Pro when you want the full toolkit. 2D GRAPHING • One smart input box: y = x², x² + y² = 9, r = 2sin(3θ) and (cos 3t, sin 2t) are recognized automatically as explicit, implicit, polar or parametric • Overlay several functions, each with its own color and one-tap show/hide • Parameter sliders: write a, b or k in a formula and a slider appears; tap ▶ to animate it • Analysis tools: mark zeros, extrema and intersections; long-press a curve to trace coordinates and the tangent line; show the symbolic derivative f′(x); shade a definite integral with draggable bounds • A keyboard designed for math, so input is fast and accurate 3D SPACE • Surfaces z = f(x, y), implicit surfaces F(x, y, z) = 0, parametric surfaces and space curves • C++-accelerated Marching Cubes engine generates complex implicit surfaces in seconds • Cinematic rendering: physically based materials, environment reflections, bloom, 7 color maps, wireframe mesh and auto-rotate CURATED GALLERY 50+ classic and surprising shapes: cardioid, rose curves, butterfly curve, spirograph, Fourier square wave, Taylor expansions, Mexican hat, Möbius strip, Klein bottle, trefoil knot and more. Tap one to open, edit and animate it. FAVORITES & EXPORT Save the graphs you like, with history kept automatically, and export images to share with friends. MATHSCOPE PRO Unlocks parametric and polar curves, the full 3D space, intersections / derivative / integral tools, the entire gallery, all color maps and ultra-high-resolution meshes, 4K export without watermark, and unlimited functions and favorites. • Yearly (includes a 3-day free trial) and Monthly: auto-renewing subscriptions. Payment is charged to your Apple ID account. A subscription renews automatically unless auto-renew is turned off at least 24 hours before the end of the current period. Manage or cancel anytime in your App Store account settings. • Lifetime: a one-time purchase, yours to keep. Privacy Policy: https://vaca.vip/mathscope/privacy Terms of Use: https://www.apple.com/legal/internet-services/itunes/dev/stdeula/