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A portion of the graph of the quadratic function y = f (x) is shown in the x-y-plane above. The function g is defined by the equation g (x) = f (x) + b. If the equation g (x) = 0 has exactly one solution, what is the value of b?
  • a)
    -2
  • b)
    -1
  • c)
    1
  • d)
    2
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A portion of the graph of the quadratic function y = f (x) is shown in...
The graph of y = g(x) = f(x) + b is the graph off vertically shifted up by b units. If g(x) = 0 has exactly one solution, the graph of y = g(x) can touch the x-axis at only one point: the vertex. Since the vertex off has a y-coordinate of -2, this can only happen iff is shifted up 2 units, so b = 2.
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A portion of the graph of the quadratic function y = f (x) is shown in the x-y-plane above. The function g is defined by the equation g (x) = f (x) + b. If the equation g (x) = 0 has exactly one solution, what is the value of b?a)-2b)-1c)1d)2Correct answer is option 'D'. Can you explain this answer?
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