My Quadratic vs Learn Graphs

This app is an interactive graphing math book in which high school, college students and science lovers can observe and try out various ways of analyzing a quadratic function with graphing features. Students are gradually introduced the theory behind a quadratic function with various parameters. Mathematically, a quadratic function may be expressed in one of the three forms: the vertex form, the general form, and the factored form. This app shows techniques to find the zeros, the coordinates of the vertex, the y-intercept; to draw the corresponding parabola and its axis of symmetry; as well as to algebraically convert from one form to another.  There are formula-specific calculators (CalPad) and parabola plotter (PlotPad) that help students characterize a quadratic function using domain, range, and variations; and visualizing the relative size and shape of the transformed parabola compared to the basic one. • The vertex form: f(x) = a(x - h)² + k • The general form: f(x) = ax² + bx + c • The factored form: f(x) = a(x - x₁)(x - x₂)

Discover the beauty and simplicity of mathematical functions with LearnGraphs, the most intuitive and visually stunning graphing app designed specifically for learning. Whether you're a student, parent, or educator, this app transforms complex mathematical concepts into engaging visual experiences that make learning both fun and memorable. REVOLUTIONARY INTERACTIVE LEARNING Watch mathematics come alive as you manipulate function parameters with smooth, responsive sliders. See instant visual feedback as graphs transform before your eyes, revealing the profound impact each variable has on the overall equation. The app's bright, vibrant color scheme and carefully crafted visual design make every interaction a delight. COMPREHENSIVE FUNCTION LIBRARY Master 12 essential mathematical functions that form the foundation of algebra, calculus, and advanced mathematics: • Constant Functions: y = a • Linear Functions: y = ax + b • Quadratic Functions: y = ax^2 + bx + c • Cubic Functions: y = ax^3 + bx^2 + cx + d • Quartic Functions: y = ax^4 + bx^3 + cx^2 + dx + e • Exponential Functions: y = a * b^x + c • Logarithmic Functions: y = a * log(bx + c) + d • Square Root Functions: y = a * sqrt(b(x + c)) + d • Absolute Value Functions: y = a|b(x + c)| + d • Hyperbolic Functions: y = a/(x - b) + c • Rational Functions: y = (ax + b)/(cx + d) • Trigonometric Functions: y = a * sin/cos/tan(bx + c) + d ADVANCED MATHEMATICAL INSIGHTS Go beyond simple graphing with sophisticated mathematical analysis features. Discover x and y intercepts, local and global minima and maxima, inflection points, and asymptotes. Each function type displays relevant mathematical properties, helping you understand not just what the graph looks like, but why it behaves that way. DUAL PERSPECTIVE LEARNING Explore functions from both traditional y = f(x) and inverse x = f(y) perspectives. This unique feature helps develop deeper mathematical intuition and prepares students for advanced topics in calculus and beyond. INTUITIVE GESTURE CONTROLS Navigate your mathematical world with natural touch gestures. Pan to explore different regions of the coordinate plane, pinch to zoom for detailed analysis, and double-tap to reset your view instantly. The responsive interface makes exploration effortless and enjoyable. COMPREHENSIVE HELP SYSTEM Never feel lost with our extensive built-in help system. Detailed explanations cover function properties, mathematical concepts, and app features. Whether you're reviewing basic concepts or exploring advanced topics, contextual help is always available. BEAUTIFUL VISUAL DESIGN Each function type features its own carefully chosen color palette and visual theme, making it easy to distinguish between different mathematical concepts. The modern, clean interface reduces cognitive load and keeps focus on the mathematics. HAPTIC FEEDBACK ENHANCEMENT Feel the mathematics through subtle haptic feedback as you adjust parameters. Experience gentle vibrations during normal adjustments and stronger feedback when crossing critical values like zero, adding a tactile dimension to mathematical exploration. PERFECT FOR ALL LEARNERS Students gain intuitive understanding of how parameters affect function behavior. Parents can finally grasp concepts they struggled with in school. Educators have a powerful visual tool for classroom demonstrations and homework support. TECHNICAL EXCELLENCE Built with cutting-edge SwiftUI technology for smooth, responsive performance across all iOS devices. The app adapts beautifully to different screen sizes and orientations, ensuring optimal learning experiences on iPhone and iPad. Download LearnGraphs and discover why thousands of students, parents, and educators consider it an essential learning tool. Mathematics has never been this beautiful, interactive, or easy to understand. Start your mathematical journey now and experience the joy of truly understanding graphs and functions.