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Graphf(x)=-4|x+1|-3

Graphf(x)=-4|x+1|-3-example-1

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A graph that represents the absolute function f(x) = -4|x + 1| - 3 is shown on the coordinate plane attached below.

In Mathematics and Geometry, an absolute value function is a type of function that contains an expression, which is placed within absolute value symbols.

By critically observing the transformed absolute value function f(x) = -4|x + 1| - 3, we can logically deduce that the parent absolute value function y = |x| was vertically shifted downward by 3 units and horizontally shifted (translated) to the left by 1 unit.

Also, the graph is continuous over all the intervals and the and y-intercept is:

y-intercept = (0, -1).

In conclusion, we would use an online graphing tool to plot the given absolute value function f(x) = -4|x + 1| - 3 as shown in the graph attached below.

Graphf(x)=-4|x+1|-3-example-1
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