Ano ang vertex form ng y = 2x ^ 2-10x + 12?

Sagot:

Ang vertex form ay # y = 2 (x-5/2) ^ 2-1 / 2 #

Paliwanag:

# y = 2x ^ 2-10x + 12 #

Ihambing ang bahagyang, bago makumpleto ang parisukat

# y = 2 (x ^ 2-5x) + 12 #

# y = 2 (x ^ 2-5x + 25/4) + 12-25 / 2 #

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

Kailan # x = 0 ##=>## y = 2 * 25 / 4-1 / 2 = 12 #

kailan # y = 0 ##=>## (x-5/2) ^ 2 = 1/4 #

# x-5/2 = + - 1/2 ##=>## x = 2 # o # x = 3 #

graph {2x ^ 2-10x + 12 -0.493, 9.374, -2.35, 2.583}