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

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

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

Graphing an absolute value function.

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.

We can see the following:

The graph below shows a function multiplied by.

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

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

The graph below shows a function multiplied by.

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

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

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

The graph opens up if a >.

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.

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.

Work with a partner.

The output values of the absolute value are equal.

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.

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.

Work with a partner.

The output values of the absolute value are equal.

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.

Likewise, the graph of an absolute.

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

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.

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

Webtransformation of the parent absolute value function.

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

Webexplore math with our beautiful, free online graphing calculator.

Graph to find the points satisfying an absolute value inequality.

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.

Work with a partner.

The output values of the absolute value are equal.

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.

Likewise, the graph of an absolute.

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

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.

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

Webtransformation of the parent absolute value function.

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

Webexplore math with our beautiful, free online graphing calculator.

Graph to find the points satisfying an absolute value inequality.

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

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Likewise, the graph of an absolute.

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

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.

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

Webtransformation of the parent absolute value function.

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

Webexplore math with our beautiful, free online graphing calculator.

Graph to find the points satisfying an absolute value inequality.

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

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

Webexplore math with our beautiful, free online graphing calculator.

Graph to find the points satisfying an absolute value inequality.

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