Asked by Allanna
A quadratic function is defined by f(x)=-3.7x^2+6.8x+4.2. A linear function is defined by g(x)=-0.5x+k. Determine the value of k so that the line intersects the parabola at exactly one point. Write your answer to the nearest hundredth
Answers
Answered by
bobpursley
one point? They must be tangent.
The slope of the quadratic is
f'=slope=-7.4x+6.8
the slope of g is -.5
setting them equal, then
-.5=-7.4x+6.8
solve for x.
The slope of the quadratic is
f'=slope=-7.4x+6.8
the slope of g is -.5
setting them equal, then
-.5=-7.4x+6.8
solve for x.
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