Graphing a vertical stretch
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. WebVertical Stretches and Compressions When we multiply a function by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function. If the constant is greater than 1, we get a vertical stretch; if the constant is between 0 and 1, we get a vertical compression.
Graphing a vertical stretch
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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 … WebVERTICAL SHIFT To shift such a graph vertically, one needs only to change the function to f (x) = sin (x) + c , where c is some constant. Thus the y-coordinate of the graph, which …
WebVertically Stretching and Shrinking Graphs Randy Anderson 13.2K subscribers Subscribe 229K views 13 years ago Precalculus How to vertically stretch and shrink graphs of functions. WebIdentify the vertical stretch or compression: If a > 1 a > 1, the graph of f (x) =logb(x) f ( x) = l o g b ( x) is stretched by a factor of a units. If a < 1 a < 1, the graph of f (x) =logb(x) f ( x) = l o g b ( x) is compressed by a factor of a units. Draw the vertical asymptote x = 0. Identify three key points from the parent function.
WebLearn how to determine the difference between a vertical stretch or a vertical compression, and the effect it has on the graph.For additional help, check out... WebNov 1, 2012 · Stretching and Reflecting Transformations ( Read ) Algebra CK-12 Foundation Stretching and Reflecting Transformations Transformations of parent functions produced by multiplying by a constant. Stretching and Reflecting Transformations Loading... Found a content error? Tell us Notes/Highlights Image …
WebIf the graph is y = f (x) The vertical stretch is = y_max - y_min. To find y_max and y_min find the points where dy/dx=0. To determine if it is a maximum or a minimum find the …
WebThe graph of g is a refl ection The graph of g is a vertical stretch in the y-axis of the graph of f. by a factor of 3 of the graph of f. REMEMBER Vertical stretches and shrinks do not change the x-intercept(s) of a graph. You can observe this using hhsnb_alg2_pe_0407.indd 207snb_alg2_pe_0407.indd 207 22/5/15 11:08 AM/5/15 11:08 AM phoenix a+ coachingWebDec 20, 2024 · Graphing a Vertical Shift The first transformation occurs when we add a constant d to the toolkit function f(x) = bx, giving us a vertical shift d units in the same direction as the sign. ttc zircon platingWebDec 13, 2024 · Vertical stretching means making the y-value bigger for any given value of x, and you can do it by multiplying the entire function by something greater than 1 phoenix acoustic wave device for edWebMove the slider on the graph to graph each function and describe the transformation. Vertical stretch and the second one is vertical compression Which of the following statements are true? Check all of the boxes that apply. Option A and C Describe how the graph of the parent function is transformed when graphing The graph is translated 3 … ttc writing centerWebColor graphing calculators are great for comparing lots of trig functions quickly to see what happens with amplitudes and periods and maxima and minima. Be sure to graph on a … ttd1415b s4x sWebYou always stretch any function by adding an a in front of highest power of the function, so with the absolute value parent function, f (x) = x , adding a number greater than 1 causes a vertical stretch such as f (x) = 2 x , … phoenix acid wash poolWebGraphing One Period of a Shifted Tangent Function Now that we can graph a tangent function that is stretched or compressed, we will add a vertical and/or horizontal (or … ttc youth