imxja
imxja imxja
  • 25-03-2020
  • Mathematics
contestada

Can someone please help me solve this?

Can someone please help me solve this class=

Respuesta :

danielmaduroh
danielmaduroh danielmaduroh
  • 02-04-2020

Explanation:

  • A vertical stretch is a nonrigid transformation because it cause a distortion on the graph. This can be written as:

[tex]g(x)=cf(x), \ \ where \ c>1[/tex]

  • If we want to shift the graph of f k units to the left, we perform the following:

[tex]g(x)=f(x+k), \ \ \ where \ k>0[/tex]

Therefore, applying a vertical stretch by a factor of 3 followed by a translation 2 units left we have:

[tex]g(x)=3(2\sqrt{x+2}-1) \\ \\ \\ Distributive \ property: \\ \\ \boxed{g(x)=6\sqrt{x+2}-3}[/tex]

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