Ano ang vertex form ng y = 4x ^ 2 + 10x + 6?

Sagot:

#y = 4 (x - (- 5/4)) ^ 2 + (- 1/4) #

Paliwanag:

#y = 4x ^ 2 + 10x + 6 #

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

# = 4 (x ^ 2 + 2 (x) (5/4) + (5/4) ^ 2- (5/4) ^ 2 + 6/4) #

# = 4 ((x + 5/4) ^ 2- (5/4) ^ 2 + 6/4) #

# = 4 (x + 5/4) ^ 2-25 / 4 + 24/4 #

# = 4 (x + 5/4) ^ 2-1 / 4 #

Kaya:

#y = 4 (x + 5/4) ^ 2-1 / 4 #

O maaari naming isulat:

#y = 4 (x - (- 5/4)) ^ 2 + (- 1/4) #

Ito ay nasa mahigpit na porma ng vertex:

#y = a (x-h) ^ 2 + k #

may multiplier # a = 4 # at kaitaasan # (h, k) = (-5/4, -1/4) #