WebSep 24, 2024 · (The only case I noticed where horizontally shifting and stretching in y-direction aren't interchangeable is for lines, where horizontally shifting is equivalent to vertically shifting. In that case, stretching would also stretch the shift, so you should first stretch and only then shift.) (Edit: even for lines, the two operations are ... WebMar 27, 2024 · A function h(x) represents a horizontal stretch of f(x) if h(x) = f(cx) and 0 < c < 1. Notice that a vertical compression or a horizontal stretch occurs when the coefficient is …

Algebra II 9.3B, Horizontal Stretch & Shrink of graph

WebTherefore, any point on the horizontally stretched graph will be in the form of (0.5x , y). So, each and every point to be changed according to (0.5x, y) and plot them on the graph. After having plotted the points, if we connect all the points, we will get the horizontally stretched graph. The same procedure to be followed for horizontal ... WebIn addition to shifting, compressing, and stretching a graph, we can also reflect it about the x -axis or the y -axis. When we multiply the parent function f (x) = bx f ( x) = b x by –1, we get a reflection about the x -axis. When we multiply the input by –1, we get a reflection about the y -axis. For example, if we begin by graphing the ... sme shipping ดีไหม

3.5 Transformation of Functions - College Algebra 2e OpenStax

WebThe reason why dividing the input x by 4 stretches the graph of y = x^3 horizontally by a factor of 4 is because the input x determines the "position" on the x-axis where the function is evaluated, and any change in the input value produces a proportional change in the output value of the function. In other words, if we divide the input x by 4 ... WebJul 29, 2024 · So to get the graph of h on, say, the interval [ 0, 1] you find the values of f on [ 0, 2] and slide them halfway to the vertical axis. That shrinks the graph of f horizontally. The same kind of analysis explains why g ( x) = f ( x) + 2 shifts the graph up (positive direction) while h ( x) = f ( x + 2) shifts the graph left (negative direction). WebMake sure to compress the base graph horizontally by checking the reference points’ new positions. The y-coordinates would remain in the same position. Consequently, make sure that the y-intercepts remain in the same position. Make sure that the graph and its points are scaled correctly. sme shipping