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Describe the transformation of the graph of the parent function y = √x for the function y = √x + 7 + 5.

The graph is shifted 7 units and 5 units .

Respuesta :

CatTofu

Answer: Its 7 units left and 5 units up.

You didn't write the question completely by the way.

facundo3141592

Here we have a problem with translations, we will see that the transformation is:

y = g(x) = √(x + 7) + 5

meaning that it is shifted 7 units to the left and 5 units up.

Defining the translations:

Horizontal shift: for a given function f(x), we define an horizontal shift of N units as:

g(x) = f(x + N )

  • If N is positive the shift is to the left.
  • If N is negative the shift is to the right.

Vertical shift: For a function f(x) we define a vertical shift of N units as:

g(x) = f(x) + N

  • If N is positive the shift is upwards.
  • If N is negative the shift is downwards.

Here we have:

f(x) = √x

g(x) = √(x + 7) + 5

Then we can write:

g(x) = f(x + 7) + 5

This means that the graph was shifted 7 units to the left and 5 units up.

If you want to learn more about translations, you can read:

https://brainly.com/question/17485121

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