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Help Please! Describe the transformation of the graph of f into the graph of g as either a horizontal or vertical stretch.

f as a function of x is equal to the square root of x and g as a function of x is equal to 3 times the square root of x.

I know it's a vertical stretch but I can't explain it.

Respuesta :

[tex]f(x) = \sqrt{x} \\ g(x) = 3 \sqrt{x} \\ \\ g(x) = 3f(x)[/tex]

That would be a vertical stretch. Hope this is what you are looking for?

Since function g is a multiplication of function f, and the multiplication coefficient is greater than 1, it is a vertical stretch.

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This question is solved stretching concepts.

  • Vertically stretching a function f(x) in b units is the same as finding [tex]bf(x)[/tex], considering b > 1.
  • Horizontally stretching a function f(x) in b units is the same as finding [tex]f(b(x))[/tex]

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The functions are:

[tex]f(x) = \sqrt{x}[/tex]

[tex]g(x) = 3\sqrt{x}[/tex]

Since function g is a multiplication of function f, and the multiplication coefficient is greater than 1, it is a vertical stretch.

The image at the end of this answer shows the original function f, in red, and the horizontally stretched function g, in blue.

A similar question is given at: https://brainly.com/question/16965753

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