Graphing a vertical stretch
WebVertical Stretches and Compressions. We have seen that adding a constant to the expression defining a function results in a translation of its graph. What happens if we … WebMove 4 spaces right: h (x) = 1/ (x−4) graph Move 5 spaces left: h (x) = 1/ (x+5) Stretch it by 2 in the y-direction: h (x) = 2/x Compress it by 3 in the x-direction: h (x) = 1/ (3x) Flip it upside down: h (x) = −1/x Example: the function v (x) = x 3 − 4x Here are some things we can do: Move 2 spaces up: w (x) = x3 − 4x + 2
Graphing a vertical stretch
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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 …
WebYou can represent a vertical (up, down) shift of the graph of f (x) =x2 f ( x) = x 2 by adding or subtracting a constant, k k. f (x) =x2 +k f ( x) = x 2 + k If k > 0 k > 0, the graph shifts upward, whereas if k < 0 k < 0, the graph … WebGraph Functions Using Compressions and Stretches. Adding a constant to the inputs or outputs of a function changed the position of a graph with respect to the axes, but it did …
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 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.
WebMay 2, 2024 · Using vertical stretches or compressions along with vertical shifts is another way to look at identifying different types of linear functions. Although this may not be the easiest way to graph this type of function, it is still important to practice each method.
WebDescribe how to sketch the graph ofy = -tan (2x) + 3 using the parent function. Start by graphing the tangent function. Compress the graph horizontally by making the period one-half pi. Reflect the graph over the x-axis. Shift the graph up 3 units. Students also viewed Graphing Tangent and Cotangent 10 terms caro1426 can prescription glasses be polarizedWebMove 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 … can prescription glasses cause headachesWebVertical 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. can prescription lenses be regroundWebFinal 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 ... can preservision cause floatersWebWhen 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 graph moves on the y-axis: if the graph gets wider: vertical shrink if the graph gets narrower: vertical stretch if the graph does not move on the y-axis: can preservision cause high blood pressureWebIdentify 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) … flamingo christmas socksWebF10 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 … flamingo chilean