## completing the square

Section 4.5: Vertex form with Completing the Square Completing the Square: Used to change quadratic functions in standard form to vertex form. f (x) = ax 2 + bx + c - f(x)=a(x?h) 2 +k ------------------------ Investigation This creates a Perfect Square 2 (b)2 Tririomiai, which factors To complete the square for an expression x + bx, add ------ Startwithx2 + bx Find (b)2 x2 +bx+() (x+ )2 / The Completed Square Factored form x2 +6x - x2 +4x 2 X - 8x _) - X - 2x oF W4CX 1rrrt! You Try?Complete the Square for the following. Then write the factored form. 1)x2 +14x 2)y2 +20y 2t\2S io) IOD (xiiJJ _ 0) 3)m2 -IOM L Omtn - 15 ) ;4 6 7 4)h2 -15h '4 P7 L_'1-' & ? **How do we go from standard form of mAquation to vertex form?