How To Tell What Factor A Graph Is Stretching Or Shrinking? (Best solution)

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 ).

How do you find the stretch factor?

1 Answer

  1. Refer to: y=af(b(x−h))+k.
  2. A vertical stretch is the stretching of a function on the x-axis.
  3. A horizontal stretch is the stretching of a function on the y-axis.
  4. For example:
  5. b=12.
  6. To vertically stretch we use this formula:
  7. To horizontally stretch we use this formula:
  8. x1=x12.

What is the stretch factor of the graph?

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.

What is the difference between a horizontal stretch and shrink?

A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis. if 0 < k < 1 (a fraction), the graph is f (x) horizontally stretched by dividing each of its x-coordinates by k. • if k should be negative, the horizontal stretch or shrink is followed by a reflection in the y-axis.

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What makes a graph shrink?

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) y = f ( x ) moves to a point (a,kb) ( a, k b ) on the graph of y=kf(x) y = k f ( x ).

What is a stretch factor in math?

The stretch factor of the pair is the ratio between these two distances, d(f(x),f(y))/d(x,y). The stretch factor of the whole mapping is the supremum (if it exists) of the stretch factors of all pairs of points. The stretch factor has also been called the distortion or dilation of the mapping.

What is the difference between a vertical stretch and shrink?

What are Vertical Stretches and Shrinks? While translations move the x and y intercepts of a base graph, stretches and shrinks effectively pull the base graph outward or compress the base graph inward, changing the overall dimensions of the base graph without altering its shape.

What does F X mean?

The expression “f (x)” means ” a formula, named f, has x as its input variable”.

How do you vertically shrink a graph?

In general, when a function is compressed vertically by a (where 0 < a < 1), the graph shrinks by the same scale factor. Let's apply the concept to compress f(x) = 6|x| + 8 by a scale factor of 1/2. To compress f(x), we'll multiply the output value by 1/2.

Is a vertical stretch negative or positive?

When you multiply a function by a positive a you will be performing either a vertical compression or vertical stretching of the graph. If 0 < a < 1 you have a vertical compression and if a > 1 then you have a vertical stretching.

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What does it mean to vertically stretch a graph?

Vertical stretch occurs when a base graph is multiplied by a certain factor that is greater than 1. This results in the graph being pulled outward but retaining the input values (or x). When a function is vertically stretched, we expect its graph’s y values to be farther from the x-axis.

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