Question 1055717: In two or more complete sentences, 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) = -x^2 -5.
Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In two or more complete sentences, 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) = -x^2 -5.
Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).
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Since x^2 = 0 implies x = 0 with multiplicity 2, there is one x-intercept
Since -x^2-5 = 0 implies x = +-sqrt(5)i, there are no x-intercepts
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Transformations:
Reflect f(x) in the x-axis,
then vertically shift the result down by 5 units,
to get g(x).
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Cheers.
Stan H.
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