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For what constant k is 1 the minimum value of the quadratic 3x^2 - 16x + k over all real values of x?

 Oct 10, 2020
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Bowl shaped parabola.....minimum point  is the vertex....to find the x value of the vertex

-b/2a  = x of the vertex

16/6        sub in this for 'x'  to find k which makes the equation = to 1

 

3 (16/6)^2  - 16 (16/6)  + k = 1      k = 22 1/3

 Oct 10, 2020
edited by ElectricPavlov  Oct 10, 2020

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