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nikdorinn [45]
2 years ago
7

On a coordinate plane, 2 cube root functions are shown. Function f (x) goes through (negative 3, negative 1.5), has an inflectio

n point at (0, 0), and goes through (3, 1.5). Function g (x) is 2 units to the left of f (x) and has an inflection point at (negative 2, 0).
The graph of f(x) = RootIndex 3 StartRoot x EndRoot is shown with g(x). Which equation represents the graph of g(x)?

g(x) = RootIndex 3 StartRoot x minus 2 EndRoot
g(x) = RootIndex 3 StartRoot x + 2 EndRoot
g(x) = RootIndex 3 StartRoot x EndRoot + 1
g(x) = RootIndex 3 StartRoot x EndRoot–1
Mathematics
1 answer:
Strike441 [17]2 years ago
5 0

Using translation concepts, it is found that the equation that represents the graph of g(x) is:

g(x) = \sqrt[3]{x + 2}.

<h3>What is a translation?</h3>

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

In this problem, we have that g(x) is a shift left of 2 units of f(x), hence:

  • f(x) = \sqrt[3]{x}
  • g(x) = f(x + 2) = \sqrt[3]{x + 2}

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

#SPJ1

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