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.
.
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.
+9 
