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

1 answer

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.
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