Graphing a vertical stretch
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. 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 …
Graphing a vertical stretch
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WebYou 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 , … 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.
WebVertically stretch or compress the graph by a factor of m . Shift the graph up or down b units. In the first example, we will see how a vertical compression changes the graph of the identity function. Example Describe the transformations to the function f (x)= 2 3x f ( x) = 2 3 x and draw a graph. Show Solution WebThe lesson Graphing Tools: Vertical and Horizontal Scaling in the Algebra II curriculum. gives a thorough discussion of horizontal and vertical stretching and shrinking. The …
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.
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 … churchill nv mapWebFinal answer. Graph the following function using the techniques of shitting. compressing, stretching, and/or reflecting. Start with the graph of the basic function y = x2 and show all stages. Be sure to identify at least three key points. Find the domain and the range of the function. f (x) = 3(x +3)2 −3 Which transformations are needed to ... devon cpd trainingWebTo 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 … devoncove hotel breakfastWebGraphing 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 … churchill oak roomsWebF10 Graph: G1 Des: D6 Vertical Stretch by a factor of 2 Vertical Translation Up 1 F11 Graph: G3 Des: D12 Vertical Compression by a factor of ½ Vertical Translation Up 1 F12 Graph: G2 Des: D7 Reflection over the x-axis Horizontal Translation Right 5 … devoncroftWebMath 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. devon craft fairsWebApr 25, 2024 · The three types of transformations of a graph are stretches, reflections and shifts. The vertical stretch of a graph measures the stretching or shrinking factor in the vertical direction. For example, if a … devon crawford linkedin