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The graph above is a transformation of the function f(x)=|x|

Write an equation for the function graphed above.

The Graph Above Is A Transformation Of The Function Fxx Write An Equation For The Function Graphed Above class=

Sagot :

Seulpinokiogiidn

Answer:

I think that the equation would be = |X - 2|

Step-by-step explanation:

Hope it was helpful :)

Xero099idn

The equation for the function graphed above is [tex]g(x) = |x-2| + 1[/tex].

The expression of [tex]g(x)[/tex] is the consequence of translating both horizontally and vertically regarding [tex]f(x)[/tex], which it can be defined by following expression:

[tex]g(x) = f(x - h) + k[/tex] (1)

  • [tex]f(x)[/tex] - Original function.
  • [tex]g(x)[/tex] - Resulting function.
  • [tex](h,k)[/tex] - Coordinates of the "center" of the resulting function.

If we know that [tex](h,k) = (2, 1)[/tex] and [tex]f(x) = |x|[/tex], then the resulting function is:

[tex]g(x) = |x-2| + 1[/tex]

The equation for the function graphed above is [tex]g(x) = |x-2| + 1[/tex].

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