Complete the square and state the minimum value and the value of $x$ at which it occurs.

$y=x^2+8x+11. $
$ y=x^2-6x+13. $
$y=x^2+3x-1. $

Question

Complete the square and state the minimum value and the value of $x$ at which it occurs. $y=x^2+8x+11. $ $ y=x^2-6x+13. $ $y=x^2+3x-1. $

Accepted Answer

(a) $(x+4)^2-5$; Minimum $-5$ at $x=-4$. (b) $(x-3)^2+4$; Minimum $4$ at $x=3$. (c) $(x+\frac32)^2-\frac{13}{4}$; Minimum $-\frac{13}{4}$ at $x=-\frac32$.

Quadratic Functions, Equations and Inequalities

Quadratic Functions, Equations and Inequalities

Solution:

Solution locked