Graph shrink or stretch

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WebNov 29, 2024 · What determines the horizontal shrink or stretch of a given graph? Key Points If b>1, the graph stretches with respect to the y -axis, or vertically. If b1, the graph shrinks with respect to the y -axis. In general, a horizontal stretch is given by the equation y=f(cx) y = f ( c x ). How do you tell if a graph is a stretch or shrink? WebNov 29, 2024 · To stretch or shrink the graph in the y direction, multiply or divide the output by a constant. 2f (x) is stretched in the y direction by a factor of 2, and f (x) is shrunk in the y direction by a factor of 2 (or stretched by a factor of). Here are the graphs of y = f (x), y = 2f (x), and y = x. Contents [ hide] 1 What is shrinking and stretching?

How do I apply horizontal stretches to logarithmic functions?

WebTo visualize stretches and compressions, we set a > 1 and observe the general graph of the parent function f (x) = logb(x) f ( x) = l o g b ( x) alongside the vertical stretch, g(x)= … WebNov 29, 2024 · To stretch or shrink the graph in the y direction, multiply or divide the output by a constant. 2f (x) is stretched in the y direction by a factor of 2, and f (x) is … can be sought

Stretching, shrinking, and reflecting graphs Algebra 2 Numerade

WebMay 4, 2024 · You will need to compare the graph to that of $y = \sin x$ or $y = \cos x$ to see if, in addition to any stretching or shrinking, there has been a reflection over the $x$-axis. The graph above on the right can be thought of as the result of stretching and reflecting the graph of $y = \sin x$ across the $x$-axis. WebSine and Cosine functions (Stretching&Shrinking) Sinx and cosx are the two basic and frequently used trigonometric functions. Their graphs have same properties. Lets have a look at these properties. Domain of both sinx and cosx is all real numbers (-∞ , ∞). Range of each function is [-1,1]. 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. can besora drive

Stretching, Compressing, or Reflecting a Logarithmic …

Vertical Stretch or Compression of a Quadratic …

WebOct 12, 2024 · When answering problems involving horizontal stretches and graphing functions, remember the following important points: If we also increase the input value by a, we can horizontally stretch a graph by 1/a. The x coordinates of f (x) are multiplied by a when f (ax) is stretched horizontally. The y-intercepts are preserved. WebPurplemath. There are two other transformations, but they're harder to "see" with any degree of accuracy. The first of these transformation is multiplication on the entire function. To see what this looks like, compare the graphs of 2 × f (x) = 2x2, f (x) = x2, and ½ × f (x) = (½) x2, below: (This is skinnier than the regular function's ... can be single or multi-celledWebJul 7, 2024 · How do you know if a graph is a vertical stretch or shrink? if 0 k 1 (a fraction), the graph is f (x) vertically shrunk (or compressed) by multiplying each of its y … can besmu one on yutube

"Web1) Horizontal stretch 3) Vertical stretch 2) Horizontal shrink 4) Vertical shrink 6) The graph of? = ? 2 is shown below. Which graph represents? = 2? 2? 7) The graph of the equation? = ? 2 is shown below. Which statement best describes the change in this graph when the coefficient of? 2 is multiplied by 4? 1) The parabola becomes wider. 2) The ... " - Graph shrink or stretch

Graph shrink or stretch

Stretching, Compressing, or Reflecting a Logarithmic Function

WebLet's modify the tangent curve by introducing vertical and horizontal stretching and shrinking. As with the sine and cosine functions, the tangent function can be described … WebStretching and shrinking is a tricky topic, but briefly: If the number is in front of the ‘x’ on the function, you pick a point on the graph, dividethe x-value on the graph by that …

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WebThe only change is that g(x) is a horizontal stretch by a factor of 2 than f(x). Thus he ignored the rest part of the equation since that was not required for graphing. If by any chance the graph of g(x) was to be graphed on the basic of the parent function then, yes, all of the characteristics of the graph needs to be in mind. WebFor example, if we begin by graphing the parent function [latex]f\left(x\right)={2}^{x}[/latex], we can then graph the stretch, using [latex]a=3[/latex], to get …

WebFunction Transformation - Shrink and Stretch. Loading... Function Transformation - Shrink and Stretch Loading... Untitled Graph. Log InorSign Up. 1. 2 ... to save your graphs! … WebThis tends to make the graph flatter, and is called a vertical shrink. In both cases, a point (a,b) ( a, b) on the graph of y= f(x) y = f ( x) moves to a point (a,kb) ( a, k b) on the graph …

WebFeb 13, 2024 · I know that a horizontal stretch of factor $5$ becomes must be placed into the function as a factor of $\frac15$ instead. So, should I do this: So, should I do this: $\rightarrow log_4(\frac15(x+4))+8 \rightarrow log_4(\frac15x+\frac45)+8$ WebMath Algebra O -6 -4 -2 6 Compare the graph of g to the graph of f (x)=√x. The graph of g is a :: vertical stretch by a factor of 5 and a reflection -4 :: horizontal shrink by a factor of -8 12 :: vertical shrink by a factor of 1 5 2 4 in the x -axis 6 X of the graph of f. :: horizontal stretch by a factor of 5 :: in the y-axis.

WebMar 27, 2024 · stretch: A stretch or compression is a function transformation that makes a graph narrower or wider. stretching: Stretching a graph means to make the graph narrower or wider. …

WebFree function shift calculator - find phase and vertical shift of periodic functions step-by-step can be slowed down with dietingWebQ: The graph shown to the right involves a reflection in the x-axis and/or a vertical stretch or shrink… A: The graph shown in the figure involves a reflection in the x-axis and/or vertical strech or shrink… can be single celled or multicellularWebThe graph shown to the right involves a reflection in the x-axis and/or a vertical stretch or shrink of a basic function. Identify the basic function, and describe the transformation verbally. Write an equation for the given graph. Identify the basic function. A. y = x B. y = 3 x C. y = x 2 D. y = x 3 E. y = x F. y = ∣ x ∣ Describe the ... can be spared meaningWebFeb 18, 2024 · A horizontal stretch or shrink by a factor of 1/k means that the point (x, y) on the graph of f(x) is transformed to the point (x/k, y) on the graph of g(x). What does vertically compressed mean? Vertical compression means making the y-value smaller for any given value of x, and you can do it by multiplying the entire function by something … can be sent or can be sendWebStretch or Shrink: A stretch or shrink transformation widens or narrows a graph. A stretch is given by a value less than 1 and a shrink by a value greater than 1. Vertical … can be sparedWebWhen the graph gets wider, it is either a vertical shrink or a horizontal stretch: essentially, shrinking TO the x-axis or stretching AWAY from the y-axis. So, in conclusion: if the … canbest botanikWebApr 24, 2024 · Space and Astronomy. A horizontal stretch or shrink by a factor of 1/k means that the point (x, y) on the graph of f (x) is transformed to the point (x/k, y) on the graph of g (x). Examples of Horizontal Stretches and Shrinks. How do you know if a stretch is horizontal or shrink? can be speeded up