Respuesta :

Answer:

The parent function f(x) = √x has been shifted  

LEFT

1 unit and  

DOWN

5 units.

Step-by-step explanation:

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We conclude that the parent function f(x) = √x has been shifted 1 unit to the left and 5 units downwards.

How was the parent function transformed?

For a function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

  • If N is positive, the translation is upwards.
  • If N is negative, the translation is downwards.

For a function f(x), a horizontal translation of N units is written as:

g(x) = f(x) + N

  • If N is positive, the translation is to the left.
  • If N is negative, the translation is to the right.

Here we have f(x) = √x, and g(x) = √(x + 1) - 5

Then:

g(x) = f(x + 1) - 5

From this, we conclude that the parent function f(x) = √x has been shifted 1 unit to the left and 5 units downwards.

If you want to learn more about translations:

https://brainly.com/question/24850937

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