Svar:
#(1/3, 23/15)#
Forklaring:
# 5y = 3x ^ 2-2x + 8 #
# 5y = 3 x ^ 2- (2/3) x + 8 #
# 5y = 3 x ^ 2- (2/3) x + (1/3) ^ 2 + 8-1 / 3 #
# 5y = 3 (x-1/3) ^ 2 + 23/3 #
# Y = 3/5 (x-1/3) ^ 2 + 23/15 # => i vertex form af:
# Y = a (x-h) ^ 2 + k # => hvor # (h, k) # er vertexet, således er vertexet:
#(1/3, 23/15)#