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Find the minimum value of f(x) = 5x^2 + 3x - 14.

 Jan 10, 2020
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f(x)  =  5x^2  + 3x  -  14

 

This is a parabola that opens upward.......the y coordinate of the  vertex will be the  minimum value

 

The x coordinate of the  vertex =    - 3 /(2 * 5 )  =   -3/10

 

Putting this into the polynomial and evaluting we have that

 

5 (-3/10)^2  + 3(-3/10)  - `14  =

 

45/100  - 9/10  - 14  =

 

9/20 - 18/20  - 280/20  =

 

-289/ 20  =  the minimum

 

 

cool cool cool

 Jan 10, 2020

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