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Home Q & A Board Science-Related Homework Help Mathematics
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dave9261 dave9261
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11 years ago
The graph I am talking about is a quadratic graph reflected over the x axis and is elevated one unit up on the Y axis.
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#1
11 years ago
The number of real roots = the number of x intercepts
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irinairina
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11 years ago
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#3
11 years ago
Your question does not tell me the formula for the quadratic so I have to make some assumptions.
You say "the graph is reflected over the x axis..." so I presume you mean that x is a quadratic function of y.
The general form of such a quadratic is x = ay^2 + by + c
and the solutions are y = -b +/- sqrt(b^2 - 4ac))/2a
If 4ac > b^2 there are no real roots
If 4ac = b^2 then there is just one root, and the graph just touches the y axis at y = -b/2a
If 4ac < b^2 then there are two roots, and the graph cuts thye y axis at two points given by the +/- term above
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