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musiclover10045
the -3 at the end of the equation would be the location of the lower point on the Y axis
 and since the x-4 part is in between the vertical lines, that means the absolute value, which is always positive so the graph would make a V shape

so the correct graph would be  D

Graph (D) is the graph of equation [tex]f(x)=2|x-4|-3[/tex]

What is graph?

In mathematics, the graph of a function f is the set of ordered pairs, where { f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

What is equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

We have four graphs and an equation.

We have to find the correct graph.

From graph(D), we have the coordinates as [tex](4,-3)[/tex]

Putting coordinates in the equations, we have

[tex]f(x)=2|x-4|-3[/tex]

       [tex]=2|4-4|-3[/tex]

⇒[tex]f(x)=-3[/tex]

Since, coordinates of graph(D) are satisfying the equation [tex]f(x)=2|x-4|-3[/tex]

Hence, we can conclude that graph(D) and Option(D) are correct.

Learn more about  graph here:

https://brainly.com/question/17267403?referrer=searchResults

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