Ano ang vertex form ng 5y = 11x ^ 2-15x-9?

Ano ang vertex form ng 5y = 11x ^ 2-15x-9?
Anonim

Sagot:

# y = 11/5 (x-15/22) ^ 2-621 / 220 #

Paliwanag:

Ang Vertex form ng naturang equation ay # y = a (x-h) ^ 2 + k #, may # (h, k) # bilang kaitaasan.

Narito kami # 5y = 11x ^ 2-15x-9 #

o # y = 11 / 5x ^ 2-3x-9/5 #

o # y = 11/5 (x ^ 2-3xx5 / 11x) -9 / 5 #

# = 11/5 (x ^ 2-2xx15 / 22 x + (15/22) ^ 2- (15/22) ^ 2) -9 / 5 #

# = 11/5 (x-15/22) ^ 2- (15/22) ^ 2xx11 / 5-9 / 5 #

# = 11/5 (x-15/22) ^ 2-45 / 44-9 / 5 #

# = 11/5 (x-15/22) ^ 2- (45xx5 + 44xx9) / 220 #

# = 11/5 (x-15/22) ^ 2- (225 + 396) / 220 #

# = 11/5 (x-15/22) ^ 2-621 / 220 #

at vertex ay #(15/22,-621/220)#

graph {5y = 11x ^ 2-15x-9 -4.667, 5.333, -4.12, 0.88}