Graph compression and stretch
WebNov 23, 2024 · Stretching and Compressing Functions. You knew you could graph functions. The x-values, or input, of the function go on the x-axis of the graph, and the f(x) values also called y-values, or output ... WebTo explore this idea, we look at the graphs of \begin{equation*} f(x)=(x-1)^2 \text{, } ~f(2x)=(2x-1)^2\ \text{ ,and } ~f\left(\dfrac{1}{2}x\right)=\left(\dfrac{1}{2}x-1\right)^2 \end{equation*} and discuss how they are related. ... a horizontal stretch or compression will never change the \(y\) intercepts. This is a good way to tell if such a ...
Graph compression and stretch
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WebExpert Answer. Reminder: Students must use the terms expand or compression to describe the stretch. A vertical stretch can be either an expansion or compression. When describing a vertical stretch, you must identify whether the function is being compressed or expanded. For instance, - if a>1, the graph expands vertically by a factor of a - if 0 ... WebThe graph is translated 3 units -Down The graph is a vertical-Stretch by a factor of 2. ... translated 2 units right Vertical translation: translated 5 units up Stretch/compression:stretched by a factor of 3 Reflection: not reflected. Students also viewed. Rational Exponents Assignment. 19 terms. HW918. Graphing Rational Functions …
WebWhat are the effects on graphs of the parent function when: Stretched Vertically, Compressed Vertically, Stretched Horizontally, shifts left, shifts right, and reflections across the x and y axes, Compressed Horizontally, PreCalculus Function Transformations: Horizontal and Vertical Stretch and Compression, Horizontal and Vertical Translations, … WebC > 1 stretches it; 0 < C < 1 compresses it We can stretch or compress it in the x-direction by multiplying x by a constant. g(x) = (2x) 2. C > 1 compresses it; 0 < C < 1 stretches it; Note that (unlike for the y …
WebThe tangent function has period π. f(x) = Atan(Bx − C) + D is a tangent with vertical and/or horizontal stretch/compression and shift. The cotangent function has period π and … WebStretches and compressions of graphs Stretches of graphs. If \(f(x) = x^2\), then \(af(x) = a(x^2)\). This tells us that we need to multiply each of the \(y\) coordinates on the graph …
WebDec 7, 2014 · You can just tell me the order of transformation of the graph. What i did by myself is horizontal compressing (using $2x$ in the equation) then shift the graph 6 units down (using $-6$ in the graph). Then, I did the vertical stretching (using 1/2).
WebLearn how to evaluate between two transformation functions to determine whether the compression (shrink) or decompression (stretch) was horizontal or vertical how do i make this page smallerWebJan 7, 2024 · Translating (shifting) a graph. Translation means moving an object without rotation, and can be described as “sliding”. In describing transformations of graphs, some textbooks use the formal term … how do i make the type size smallerWebCombine Shifts and Stretches. When combining transformations, it is very important to consider the order of the transformations. For example, vertically shifting by 3 and then vertically stretching by 2 does not create … how much milligrams of thc is ok for anxietyWebWhat are the effects on graphs of the parent function when: Stretched Vertically, Compressed Vertically, Stretched Horizontally, shifts left, shifts right, and reflections … how do i make this full pageWebDec 7, 2014 · You can just tell me the order of transformation of the graph. What i did by myself is horizontal compressing (using $2x$ in the equation) then shift the graph 6 units … how much millimeters are in 10 centimetersWebThe graph of f(x) = x2 is horizontally stretched by a factor of 3, then shifted to the left 4 units and down 3 units. For the following exercises, describe how the formula is a transformation of a toolkit function. Then sketch a graph of the transformation. 69. g(x) = 4(x + 1)2 − 5. 70. g(x) = 5(x + 3)2 − 2. 71. how do i make this screen smallerWebApr 10, 2024 · Shift the graph of f(x) = bx up d units if d is positive, and down d units if d is negative. State the domain, ( − ∞, ∞), the range, (d, ∞), and the horizontal asymptote y = d. Example 4.2.2: Graphing a Shift of an Exponential Function. Graph f(x) = 2x + 1 − 3 . State the domain, range, and asymptote. how do i make tinted glass in minecraft