Apakah paksi simetri dan puncak bagi graf f (x) = 3x ^ 2 - 15x + 3?

Jawapan:

puncak: (2.5, -15.75)

paksi simetri: x = 2.5

Penjelasan:

#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 #

#therefore puncak: (5/2, -15 3/4) #

#dalam "paksi simetri": x = 5/2 #