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The parent function f(x)=√x is transformed to g(x) = f(-x) - 2. Which graph represents g(x)?

Sagot :

Using translation concepts, the graph of g(x) is given at the end of the question.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is given by:

[tex]f(x) = \sqrt{x}[/tex].

With the changes, we have that:

  • f(-x) is the function reflected over the y-axis.
  • f(-x) - 2 is the function reflected over the y-axis and shifted 2 units down.

Hence the function will be given by:

[tex]f(x) = \sqrt{-x} - 2[/tex].

The graph is given at the end of the answer.

More can be learned about translation concepts at https://brainly.com/question/4521517

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