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The figure above shows the graphs of functions f and g in the xy-plane. Which of the following equations could express the relationship between f and g?
  • a)
    f(x) = g (x - 2)
  • b)
    f(x) = g (x + 2)
  • c)
    f(x) = g (x) + 2
  • d)
    f(x) = g (x) - 2
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The figure above shows the graphs of functions f and g in the xy-plane...
The figure clearly shows that the function y = f(x) is similar in shape to the function y = g(x), but is shifted to the left by some positive distance. When the graph of y = g(x) is shifted to the left by k units, the equation of the new function is y = g(x + k). The only equation that has this form is (B) fx) = g(x + 2).
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The figure above shows the graphs of functions f and g in the xy-plane. Which of the following equations could express the relationship between f and g?a)f(x) = g (x - 2)b)f(x) = g (x + 2)c)f(x) = g (x) + 2d)f(x) = g (x) - 2Correct answer is option 'B'. Can you explain this answer?
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