#Linear Functions

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Linear functions have a constant rate of change and graph as straight lines. Quadratic functions graph as parabolas opening upwards or downwards hential depending on their coefficients. Exponential functions grow or decay rapidly with a constant multiplicative rate of change. Sine functions are periodic, producing wave-like graphs that oscillate between a maximum and minimum value. . #math #study #mathematics #education #instagram #instagood #viral #insta #maths #treanding #reel #reels #success #physics #viralreel #fyp

How to Graph a linear function using slope intercept form.

Linear functions have a constant rate of change and graph as straight lines. Quadratic functions graph as parabolas opening upwards or downwards hential depending on their coefficients. Exponential functions grow or decay rapidly with a constant multiplicative rate of change. Sine functions are periodic, producing wave-like graphs that oscillate between a maximum and minimum value. Follow @pi.mathematika for more interesting content on Maths & it's applications✨ ( USA Maths UK Maths Germany Maths Canada Maths StudygramUSA StudyinUK SATprepUSA Stanford Harvard MIT Nobel Prize Physics ) Credit: unknown (DM us for credits/ removal), For Educational purposes only, no copyright infringement intended, rights belong to original owner. #math #study #mathematics #education #instagram #instagood #viral #insta #maths #treanding #reel #reels #success #physics #viralreel #fyp

The math dance is a creative way to visualize how different algebraic equations create distinct geometric shapes. Linear functions: y = x and y = -x These are the simplest moves. For y = x, your arms form a diagonal line from the bottom-left to the top-right. This represents a constant 1-to-1 relationship. If you flip it to y = -x, your arms switch to a top-left to bottom-right diagonal. This shows a negative correlation: as x increases, y decreases at the exact same rate. The parabola: y = x² To dance a quadratic function, you curve both arms upward to form a U-shape, with your head at the center (the vertex). Because any number squared whether positive or negative results in a positive number, both sides of the graph stay above the horizontal axis. If the equation were y = -x², you would point your arms downward, creating a "frown" shape. The cubic function: y = x³ This move requires one arm to point up and the other to curve down. For y = x³, your right arm reaches up toward the sky while your left arm reaches down toward the ground, meeting at a slight curve in the middle. Unlike the parabola, the cubic function allows for negative results. When you cube a negative number, it stays negative, which is why the left side of your "dance" dives below the center line. The absolute value: y = |x| This is often called the V-shape. Similar to the parabola, the results are always positive, but instead of a smooth curve, the lines are perfectly straight. In the dance, your arms form a sharp V, meeting at a point. This represents the fact that the rate of change is constant, but the direction suddenly snaps at the origin. Trigonometric waves: y = sin(x) For the sine wave, you create a flowing, snake-like motion with your arms. This move represents periodicity. The wave repeats its shape over and over as it moves along the axis, oscillating between a high point of 1 and a low point of -1. It is the fundamental visualization of cycles and vibrations found in nature. For educational purpose only, kindly DM for copyright infringement.

System of Linear Equations.

Translating rotation into waves. The unit circle is the engine of trigonometry. As the angle rotates, the Sine, Cosine, and Tangent curves emerge perfectly in sync. Math isn't just calculated; it is seen. ■ Q.E.D. #trigonometry #math #mathvisuals

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Graphing Linear Function #functions #graph

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Sines and cosines of several angles #math #trigonometry #sfs #viral