Absolute Value Vertical Stretch - do3

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

Likewise, the graph of an absolute.

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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.

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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.

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.

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.

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

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

The graph below shows a function multiplied by.

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We can see the following:

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

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.

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

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

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

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

Graphing an absolute value function.

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Webtransformation of the parent 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.

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

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

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

Graph to find the points satisfying an absolute value inequality.

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

The graph opens up if a >.

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