Absolute Value Vertical Stretch - staging

Webkey concept • vertical dilations of absolute value functions if | a| > 1, the graph of f(x) = | x| is compressed horizontally.

Webif the constant is greater than 1, we get a vertical stretch;

If 0 < | a| < 1, the graph of f(x) = | x| is stretched.

This results in the graph being pulled outward but retaining the input values (or x).

We take a look at how changes to the parent function y=|x| can cause the graph to vertically stretch, shrink, or be reflected. more.

In this text, we will be exploring functions—the shapes of their graphs, their unique characteristics, their algebraic.

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If the constant is between 0 and 1, we get a vertical compression.

Webexplore math with our beautiful, free online graphing calculator.

Webwe also notice that the graph appears vertically stretched, because the width of the final graph on a horizontal line is not equal to 2 times the vertical distance.

The graph opens up if a >.

Webwe also notice that the graph appears vertically stretched, because the width of the final graph on a horizontal line is not equal to 2 times the vertical distance from the corner to.

Webnext, we take care of what's happening 'outside of' the absolute value.

(a) the absolute value function does not intersect the horizontal.

The stretching or compressing of the absolute value function y = | x | is defined by the function y = a | x | where a is a constant.

Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

Webnote that these equations are algebraically equivalent—the stretch for an absolute value function can be written interchangeably as a vertical or horizontal stretch or.

When a function is vertically stretched, we expect its graph’s y values to be farther from.

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Likewise, the graph of an absolute.

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Graph to find the points satisfying an absolute value inequality.

Webit is possible for the absolute value function to intersect the horizontal axis at zero, one, or two points.

Webnote that these equations are algebraically equivalent—the stretch for an absolute value function can be written interchangeably as a vertical or horizontal stretch or.

Webtransformation of the parent absolute value function.

Graphing an absolute value function.

The output values of the absolute value are equal.

The most significant feature of the absolute value graph is the corner point at which the graph changes direction.

Webvertical stretch occurs when a base graph is multiplied by a certain factor that is greater than 1.

The graph below shows a function multiplied by.

We can see the following: