SOLUTION: compare the number of x-intercepts in the graph of f(x) = x2 to the number of x-intercepts in the graph of g(x) = -x2 -5. Be sure to include the transformations that occurred betwe

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: compare the number of x-intercepts in the graph of f(x) = x2 to the number of x-intercepts in the graph of g(x) = -x2 -5. Be sure to include the transformations that occurred betwe      Log On


   

Question 1129101: compare the number of x-intercepts in the graph of f(x) = x2 to the number of x-intercepts in the graph of g(x) = -x2 -5. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).
Answer by stanbon(75887) About Me  (Show Source):
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compare the number of x-intercepts in the graph of f(x) = x^2 to the number of x-intercepts in the graph of g(x) = -x2 -5. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).
Starting with f(x) = x^2
Multiply by -1 to get h(x) = -x^2 which is a reflection in the x-axis
Subtract 5 to get g(x) = -x^2-5 which moves h(x) down 5 units.
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f(x) = x^2 touches the x-axis at x = 0
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g(x) does not touch the x-axis
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Cheers,
Stan H.
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