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Consider the graph of f(x)=13x−2. How do the graphs of 2f(x), f(x+2), and f(x)+2 compare to the graph of f(x)? Drag tiles to the empty boxes to correctly complete each sentence. The graph of 2f(x) Response area the graph of f(x). The graph of f(x+2) Response area the graph of f(x). The graph of f(x)+2 the graph of f(x).

Respuesta :

Using translation concepts, it is found that:

  • 2f(x) is a vertical stretch by a factor of 2 of f(x).
  • f(x + 2) is a shift left of 2 units of f(x).
  • f(x) + 2 is a shift up of 2 units of f(x).

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.

As for this problem, we have that:

  • For 2f(x), f(x) is multiplied by 2, hence it is a vertical stretch by a factor of 2 of f(x).
  • For f(x + 2), x -> x + 2, hence f(x + 2) is a shift left of 2 units of f(x).
  • For f(x) + 2, f(x) -> f(x) + 2, hence it is a shift up of 2 units of f(x).

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

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