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1. www.onemathematicalcat.org › Math › Precalculus_objHorizontal and Vertical Stretching/Shrinking

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   May 30, 2024 · Horizontal stretching/shrinking changes the x x -values of points. Transformations that affect the x x -values are counter-intuitive. Vertical/horizontal stretching/shrinking usually changes the shape of a graph. The lesson Graphing Tools: Vertical and Horizontal Scaling in the Algebra II curriculum gives a thorough discussion of horizontal and ...

2. Videos

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     Horizontal Shrink and Stretch Transformations of Linear Functions

     16 Oct 2020

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     Horizontal Stretch and Shrink of a Parent Function

     24 Jun 2019

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     Horizontal Stretching and Shrinking

     2 Nov 2015

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3. www.mathisthewaycorner.com › stretch-vs-shrinkStretch vs Shrink - Math is the Way Corner

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   • Horizontal and Vertical Shifts. Horizontal and Vertical Shifts: Vertical Shifts. On the top left we have a vertical shift up. On the top the right we have a vertical shift down.
   • Stretch vs Shrink (Compression) - Horizontal and Vertical. Stretch vs Shrink: Vertical Stretch vs Vertical Shrink (Compression) On the top left we have a vertical shrink or compression.
   • Reflection Over the Axes. Reflection Over the Axes: Reflection Over the X-axis. On the left we have a reflection over the x-axis. When we reflect over the x-axis we change the output since the x-values remain the same.
   • Example 1. Example 1: The first step is to graph our original function, f(x) = x2 - the black graph. The second step that we are going to add is the horizontal shrink by a factor of 2 - the blue graph.

4. www.sparknotes.com › math › algebra2Operations on Functions: Stretches and Shrinks | SparkNotes

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   We can also stretch and shrink the graph of a function. To stretch or shrink the graph in the y direction, multiply or divide the output by a constant. 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 ). Here are the graphs of y = f (x), y = 2f (x), and ...

5. senioritis.io › mathematics › algebraMastering Horizontal Shrink: How To Compress Figures Without ...

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   Horizontal shrink is a geometric transformation that compresses or narrows a figure horizontally while leaving its vertical dimensions unchanged. It is also.

6. www.themathdoctors.org › combining-functionCombining Function Transformations: Order Matters – The Math ...

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   Jan 10, 2019 · Here are the transformations mentioned on that page: -f(x) reflection in the x-axis af(x) vertical stretch by factor a f(x)+a vertical shift up by a f(-x) reflection in the y-axis f(ax) horizontal shrink by factor a f(x+a) horizontal shift left by a Note that the first set, the "vertical" transformations, involve changing something OUTSIDE the original function; that is, we do something to the ...

7. courses.lumenlearning.com › suny-dutchess-pre1.7 Transformations: Stretches and Compressions | Precalculus

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   horizontal compression. a transformation that compresses a function’s graph horizontally, by multiplying the input by a constant [latex]b>1 [/latex] horizontal shift. a transformation that shifts a function’s graph left or right by adding a positive or negative constant to the input.

8. People also ask

   What happens when a horizontal shrink happens?

   • When a horizontal shrink happens, the output values happen faster so our graph is compressed inward. On the bottom right we have a horizontal stretch. Our original function, f(x) - the red one, is narrower than the new function, f(c * x) - the green one. For the new functions to be wider, our c value needs to be 0 < c < 1.

   Stretch vs Shrink - Math is the Way Corner

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   How do you do a horizontal shrink?

   • Let k> 1. Start with the equation y = f(x). Replace every x by kx to give the new equation y = f(kx). This causes the x-values on the graph to be DIVIDED by k, which moves the points closer to the y-axis. This is called a horizontal shrink. A point (a, b) on the graph of y = f(x) moves to a point (a k, b) on the graph of y = f(kx). Additionally:

   Horizontal and Vertical Stretching/Shrinking - OneMathematicalCat.org

   www.onemathematicalcat.org/Math/Precalculus_obj/horizVertScaling.htm

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   What is a vertical shrink on a graph?

   • This tends to make the graph flatter, and is called a vertical shrink. In both cases, a point (a, b) on the graph of y = f(x) moves to a point (a, kb) on the graph of y = kf(x). This transformation type is formally called vertical scaling (stretching/shrinking). Points on the graph of y = f(x) y = f (x) are of the form (x, f(x)). (x, f (x)).

   Horizontal and Vertical Stretching/Shrinking - OneMathematicalCat.org

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   What happens if you shrink a graph?

   • When you shrink the resulting graph, you are expecting the graph to still show the same shift. But in fact, the shift itself has been shrunk. What is happening is that every point, including the vertex that you are looking at, is being moved to 1/3 as far from the y-axis as it was; so what WAS a shift by 9 units is now only 3 units.

   Combining Function Transformations: Order Matters - The Math Doctors

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   How do you calculate a vertical shrink?

   • Multiply the previous y-values by k, giving the new equation y = kf(x). The y-values are being multiplied by a number between 0 and 1, so they move closer to the x-axis. This tends to make the graph flatter, and is called a vertical shrink. In both cases, a point (a, b) on the graph of y = f(x) moves to a point (a, kb) on the graph of y = kf(x).

   Horizontal and Vertical Stretching/Shrinking - OneMathematicalCat.org

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   Does vertical stretching/shrinking change the Y Y value of a graph?

   • Vertical stretching/shrinking changes the y y -values of points. Transformations that affect the y y -values are intuitive. Horizontal stretching/shrinking changes the x x -values of points. Transformations that affect the x x -values are counter-intuitive. Vertical/horizontal stretching/shrinking usually changes the shape of a graph.

   Horizontal and Vertical Stretching/Shrinking - OneMathematicalCat.org

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9. mathbitsnotebook.com › Algebra1 › FunctionGraphsFunctions: Horizontal Shift - MathBitsNotebook (A1)

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   the horizontal compression will keep the new x-coordinate negative, but closer to the y-axis. Remember: The y-intercept value (where x = 0) stays attached to the y-axis, and does not change. A horizontal stretch "pushes" the graph horizontally closer to the y-axis (from the left and/or right). Given: f (x) = x 2 and k = 2. Horizontal Compression: