Question

1. Express 3 + 9x - x 2 in the form q-(x+r)2, where q and r are
constants. Hence
state its extreme value and the value of x when this occur.

Answer 1

Answer:

When we find the maximum value and the minimum value of ax^2 + bx + c then let us assume y = ax^2 + bx + c. Thus, the minimum value of the expression is 4ac - b^2/4a. Therefore, we clearly see that the expression y becomes maximum when a < 0. Thus, the maximum value of the expression is 4ac - b^2/4a.