Aká je os symetrie a vrcholu pre graf f (x) = 3x ^ 2 - 15x + 3?

odpoveď:

vrchol: (2.5, -15.75)

os symetrie: x = 2,5

vysvetlenie:

#f (x) = 3x ^ 2-15x + 3 #

#f (x) = 3 x ^ 2-5x + 3 #

#f (x) = 3 (x-5/2) ^ 2-25 / 4 + 3 #

#f (x) = 3 (x-5/2) ^ 2-75 / 4 + 3 #

#f (x) = 3 (x-5/2) ^ 2-15 3/4 #

# X-5/2 = 0 #

# X = 5/2 #

#f (x) = 3 (0) ^ 2 -15 3/4 #

#f (x) = - 15 3/4 #

#terefore vertex: (5/2, -15 3/4) #

#therefore "os symetrie": x = 5/2 #