Ano ang vertex form ng y = 5x ^ 2 + 9x - 4?

Sagot:

# y = 5 (x + 9/10) ^ 2-161 / 20 #

Vertex form ng equation para sa # y = ax ^ 2 + bx + c # ay # y = a (x-h) ^ 2 + k # at vertex ay # (h, k) #.

Bilang # y = 5x ^ 2 + 9x-4 #, meron kami

# y = 5 (x ^ 2 + 9 / 5x) -4 #

= # 5 (x ^ 2 + 2xx9 / 10x + (9/10) ^ 2- (9/10) ^ 2) -4 #

= # 5 ((x + 9/10) ^ 2-5 * (9/10) ^ 2-4 #

= # 5 (x + 9/10) ^ 2-81 / 20-4 #

= # 5 (x + 9/10) ^ 2-161 / 20 #

at bilang tulad vertex ay #(-9/10,-161/20)# o #(-9/10,-8 1/10)#

graph {5x ^ 2 + 9x-4 -3.54, 1.46, -8.43, -5.93}