SOLUTION: Determine the k values such that y= 4x + k does not intersect the parbola y=-3x^2 -x +4
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Question 291563: Determine the k values such that y= 4x + k does not intersect the parbola y=-3x^2 -x +4
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Take the first derivative of your parabola function.
The slope of the line is 4, so set the derivative function equal to that slope:
If the line were actually tangent, then the point of tangency would be:
\right))
Do the arithmetic:
^2\ -\ \left(-\frac{5}{6}\right)\ +\ 4\ =\ \frac{11}{4})
So, for a tangent line:
\ +\ k)
Hence,
So, if the line must not intersect the parabola:
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