Vertical stretch or shrink calculator. Learn the formula, see examples, and understand how...

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  1. Vertical stretch or shrink calculator. Learn the formula, see examples, and understand how function transformations work. Vertical Stretch – Properties, Graph, & Examples Ever noticed graphs that look alike, but one is more vertically stretched than the other? This is all thanks to the transformation technique we call vertical stretch. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Vertical compression/Stretch, Vertical and Horizontal Shifting Author: Carlos B. 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 ). The scale factor of a vertical stretch or shrink is the factor a. . g (x) = a ⋅ f (x) if a> 1 For a given x-value, the y-value has been multiplied by a. Vertical stretch/shrink Vertical shift Horizontal stretch/shrink ET Reflection about the y-axis Reflection about the x-axis Use the graphing tool to graph the equation. Vizcaino Transform the function to obtain function g (x) A. Horizontal shift B. This will stretch the graph vertically by a factor of a (a > 1). Stretches and Shrinks We can also stretch and shrink the graph of a function. The green dashed function shows a horizontal stretch of 2 (where k=2). Vertical Stretch A vertical stretch can be thought of as stretching the graph away from the x-axis when compared to the related function. A vertical stretch/shrink alters the graph's height, multiplying the y-coordinates by a constant factor (y → k*y, where k > 1 is a stretch and 0 < k < 1 is a shrink). A vertical shift moves the graph up or down, adjusting the y-coordinates by a constant value (y → y ± c). What 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, with video lessons, examples and step-by-step Enter a function and you may move, stretch or shrink it. Notice how it is "steeper". When the graph gets narrower, it is either a vertical stretch or a horizontal shrink; essentially, stretching AWAY from the x-axis or shrinking TO the y-axis. To stretch or shrink the graph in the y direction, multiply or divide the output by a constant. k is the factor by which to create horizontal stretches and shrinks. When 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. Vertical stretch on a graph will pull the original graph outward by a given scale factor. The equation below it (green dots) is a horizontal shrink of 1/2. The lesson Graphing Tools: Vertical and Horizontal Scaling in the Algebra II curriculum gives a thorough discussion of horizontal and vertical stretching and shrinking. Jun 5, 2024 · This calculator allows users to input a mathematical function and a vertical stretch factor to see how the function’s graph is transformed. Explore math with our beautiful, free online graphing calculator. Feb 7, 2025 · Vertical/horizontal stretching/shrinking usually changes the shape of a graph. Calculate the new coordinates of a point after a vertical stretch using our free Vertical Stretch Calculator. Vertical 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. This video goes through comparing functions that stretch and shrink with their parent function and sketching the graphs using Desmos and a Graphing Calculator. Click the gray circles on the side to view them. It is an invaluable tool in fields ranging from physics to graphic design, where precise manipulations of functions are necessary for simulations and visualizations. puxxpren ideq bbekut oexxhr fer ezyw xhat sgb gfm gqxw