Aký je vrchol y = 12x ^ 2 - 18x - 6?

Aký je vrchol y = 12x ^ 2 - 18x - 6?
Anonim

odpoveď:

# P = (3/4, -51/4) #

vysvetlenie:

# P = (h, k) "Súradnice vrcholov" #

# Y = ax ^ 2 + bx + c #

# a = 12 ";" b = -18 ";" c = -6 #

# Y = 12x ^ 2-18x-6 #

# H = -b / (2a) #

# H = 18 / (2 * 12) = 18/24 = 3/4 #

# K = 12 * (3/4) ^ 2 až 18 * 3 / 4-6 #

# K = 12 * 9 / 16-54 / 4-6 #

# K = 27 / 4-54 / 4-24 / 4 = (27-78) / 4 = -51 / 4 #

# P = (3/4, -51/4) #