Chapter 9 - Quadratic Functions and Equations - 9-5 Completing the Square - Got It? - Page 578: 3

a) $(-2,6)$ b) $(-6,-2)$

a) $x^2+4x+10 = 0$ $x^2+4x= - 10$ $x^2 + 4x + 4 = -6$ $(x+2)^2 + 6 = 0$ The vertex will be (h,k) where $(x-h)^2+k=0$ The vertex is $(-2,6)$ b) $x^2+ 12x+34 = 0$ $x^2 + 12x = -34$ $x^2+12x+36= 2$ $(x+6)^2-2 = 0$ The vertex will be (h,k) where $(x-h)^2+k=0$ The vertex is $(-6,-2)$