rowsgold4729 rowsgold4729
  • 21-03-2019
  • Mathematics
contestada

Which statements describe one of the transformations performed on f(x)=x^2 to create g(x)=2(x+5)^2+5

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 31-03-2019

Answer:

Translated to the left 5 units and up 5 units and compressed horizontally by 2 units.

Step-by-step explanation:

The  parent function given is [tex]f(x)=x^2[/tex]

This function has its vertex at the origin.

If we move this function 5 units  to the left and 5 units up, then its vertex will now be at [tex](-5,5)[/tex].

If the parent function is then compressed horizontal by a factor of 2, then the transformed function will now have equation.

[tex]g(x)=2(x+5)^2+5[/tex]

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