A quadratic function has roots and which passes through the point . Under what conditions will it intersect with a line of slope Once? twice? Never?

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- December 3rd 2008, 07:45 PMeuclid2quadratic function
A quadratic function has roots and which passes through the point . Under what conditions will it intersect with a line of slope Once? twice? Never?

- December 3rd 2008, 07:50 PMterr13
Since it is a quadratic equation, it has the form of a parabola. You know where it intersects the x-axis, and you also know 1 other point, which tells you which way the parabola opens up. From there you can draw a sketch of the graph and then see where it would intersect a line of sloope -4.

- December 3rd 2008, 07:51 PMvincisonfire
Because it has root 3 and -5,

Set and solve for b. All value smaller than this b will intersect since the parabola is tipped down. - December 8th 2008, 08:14 PMeuclid2