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let P=x^2-6x-13. If x is real, what is the smallest value of P? what value of x produces this minimum value of P?

 Sep 13, 2023
 #1
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let P=x^2-6x-13. If x is real, what is the smallest value of P? what value of x produces this minimum value of P?   

 

When x = 3, then P = –22     I took the equation to Desmos graphing calculator.    

.

 Sep 13, 2023
 #2
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Another way to find the lowest point would have  

been to recognize that the equation is a parabola  

opening upward, and solving for the vertex.  

.

Bosco  Sep 13, 2023

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