Hvad er vertexformen for y = x ^ 2 - 9x + 2?

Svar:

Find vertex form af #y = x ^ 2 - 9x + 2 #

Ans: #y = (x - 9/2) ^ 2 - 73/4 #

Forklaring:

Vertex # (x, y) #.

#x#-koordinat af vertex: #x = (-b / (2a)) = 9/2 #

# Y #-koordinat af vertex: #y = y (9/2) = (9/2) ^ 2 - 9 (9/2) + 2 = #

#= 81/4 - 81/2 + 2 = -81/4 + 2 = -73/4#

Vertex formularen -> #y = (x - 9/2) ^ 2 - 73/4 #