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MAAn easy way to graph a function y=kx²
1. Shifting ✔️
2. Dilation ✔️
3. Reflecting ✔️
4. Shifting + Dilation ✔️
5. Shifting + Dilation + Rotation ✔️
#math
#mathematics
#matematik
#function
@mathteacherziya
#Sinh Function Graph
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IR🌬️🌪️ The Enneagram is not a personality typology system. It is an encrypted frequency system that programs our virtual human avatars. Revealed for the first and only time in my book, Irreversible Influence: The Revelation. 🔑
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EQ➡️ Day-5/500 of Visual Interpretations of Mathematics: 🇮🇳 🌟 Witness India's first-ever visualization of the Taylor Series expansion for the Sine function! 📐✨ In schools, we're often taught to memorize formulas, but in this reel, watch as the cosine function comes to life—step by step—from t0 to t5. Let's move beyond memorization and truly understand the beauty of mathematics!
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SCYou guys were right, my original sine graph looked like a cubic. So I deleted, beat myself up for a couple days and tried again. Hopefully this sine graph transformation is better.
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KISine function graph❤️❤️
@kingofphysics_infinity
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PHLet’s explore the relationship between the unit circle and the sine function!
As we move along the arc of the unit circle, starting at coordinate (1,0), our x and y positions change.
Sin(θ) can be thought of as the y coordinate as we move along the unit circle. The point moves around the circle, generating a real-time graph of sin(θ).
Dash lines connect the circle to the graph, highlighting the movement in the Cartesian plane.
Updated values of sin(θ) and the angle theta in degrees are displayed dynamically.
Visualize trigonometry in a unique way!
🔥 Follow 👉 @physic.fun
Cre: @fourierborel
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#math #mathskills #mathproblems #trigonometry #sine #cosine #algebra
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M3FOLLOW @m3thnerd FOR MORE
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YOGraph 📉 of some common mathematical functions
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MAFunction transformations allow us to modify the appearance of a function while keeping its fundamental structure intact. These transformations include shifts, reflections, stretches, and compressions. Vertical transformations affect the output (y-values), such as multiplying a function by a constant to change its amplitude. Horizontal transformations, on the other hand, involve changes to the input (x-values), which can stretch or compress the function along the x-axis. Understanding these transformations is essential for analyzing functions, as they help us predict how a graph changes when we manipulate its equation.
A great example of function transformations is the sine function. Starting with sin(x), multiplying it by 2 to get 2sin(x) stretches the graph vertically, doubling its amplitude so that its peaks and troughs are twice as high. Changing the input by multiplying x by 2 in sin(2x) compresses the graph horizontally, making the function complete two full cycles in the same interval where sin(x) completes one. Finally, combining both transformations in 2sin(2x) results in a sine wave that not only oscillates twice as fast but also has double the amplitude. These transformations illustrate how vertical and horizontal changes interact to reshape a function’s graph.
I hope you liked this video and follow @mathswithmuza for more!
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@mathswithmuza
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MATrigonometry becomes much clearer when we connect algebraic formulas to geometry. This visual explanation starts with the unit circle, a circle of radius 1 centered at the origin, which forms the foundation of trigonometric definitions. Any angle measured from the positive x-axis determines a point on the unit circle, and the coordinates of this point directly define cosine and sine. The x-coordinate represents cos θ, while the y-coordinate represents sin θ.
By dropping a perpendicular from this point to the x-axis, we naturally obtain a right-angled triangle. This links the unit circle to the familiar concepts of adjacent, opposite, and hypotenuse. From this construction, tan θ appears as the ratio of sine to cosine and is visualized using the tangent line to the unit circle.
The animation then extends these ideas to graphs. As the angle increases, the changing sine, cosine, and tangent values trace smooth curves, forming the sin graph, cos graph, and tan graph. This shows how circular motion generates periodic wave patterns.
This approach preserves correct mathematical meaning while helping students see how angles, triangles, and graphs are deeply connected—making trigonometry logical, visual, and memorable.
#math #trigonometry #fyp #trending
@mathematisa
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MAVisualizing the Graph of SinX and inverse SinX
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Follow For More
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@mat.h_director
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MAIn this short, we show five different graphs of functions with a point where the function is not differentiable.
If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks!
#math #manim #animation #theorem #iteachmath #mathematics ##mathshorts #mathvideo #mtbos #mathematician #calculus #differentiability #functions #derivative #discontinuity #cusp #verticalasymptote #tangentline
To learn more about animating with manim, check out:
https://manim.community
@mathvisualproofs
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