WebA General Note: Horizontal Stretches and Compressions Given a function f (x) f ( x), a new function g(x)= f (bx) g ( x) = f ( b x), where b b is a constant, is a horizontal stretch or …

Identifying function transformations (video) Khan Academy

WebTransforming Without Using t-charts (steps for all trig functions are here). Many teachers teach trig transformations without using t-charts; here is how you might do that for sin and cosine:. Since we can get the new period of the graph (how long it goes before repeating itself), by using \(\displaystyle \frac{2\pi }{b}\), and we know the phase shift, we can graph … http://mrscolpittswss.weebly.com/uploads/3/7/0/4/37044593/_pc12_sol_c03_3-4_1.pdf pompeii vulkan ausbruch

1.7 Transformations: Stretches and Compressions Precalculus

WebTo stretch a graph vertically, place a coefficient in front of the function. This coefficient is the amplitude of the function. For example, the amplitude of y = f (x) = sin (x) is one. The amplitude of y = f (x) = 3 sin (x) is three. Compare the two graphs below. Figure %: The sine curve is stretched vertically when multiplied by a coefficient. Web16 dec. 2024 · Horizontal compression depends on the scale factor multiplied by the input value (usually x). When f (x) is compressed horizontally to f (ax), divide the x-coordinates by a. Retain the y-intercepts and coordinates’ positions. The transformed function will have the same range but may have a different domain. What does a vertical stretch mean? WebThus, when we multiply every 𝑥 value in 𝑓 ( 𝑥) by 2, to obtain the function ℎ ( 𝑥) = ( 2 𝑥) , the graph of 𝑓 ( 𝑥) = 𝑥 is dilated horizontally by a factor of 1 2, with each point being moved to one-half of its previous distance from the 𝑦 -axis. bank4me