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The parent function h(x)=log3(x) is transformed into j(x)=2log3(x+3)−7. Using complete sentences, describe ALL transformation that occurred.

Respuesta :

Answer:

  • The function is vertically scaled (expanded) by a factor of 2.
  • The scaled function is translated left 3 units and down 7 units.

Step-by-step explanation:

When a function f(x) is transformed by ...

  g(x) = a·f(x -h) +k

it has been vertically scaled by a factor of "a" and translated to the right and up by amounts h and k, respectively.

Here, we have a=2, h=-3, and k=-7. The means ...

  The function has been vertically expanded by a factor of 2, translated left 3 units, and translated down 7 units.

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