Ano ang vertex form ng y = 17x ^ 2 + 88x + 1?

Sagot:

# y = 17 (x + 44/17) -1919 / 17 #

Paliwanag:

Given -

# y = 17x ^ 2 + 88x + 1 #

Vertex

x-coordinate ng vertex

#x = (- b) / (2a) = (- 88) / (2xx 17) = (- 88) / 34 = (- 44) / 17 #

y-coordinate ng vertex

# y = 17 ((- 44) / 17) ^ 2 + 88 ((- 44) / 17) + 1 #

# y = 17 ((1936) / 289) -3872 / 17 + 1 #

# y = 32912 / 289-3872 / 17 + 1 #

# y = (32912-65824 + 289) / 289 = (- 32623) / 289 = (- 1919) / 17 #

Ang vertex form ng equation ay

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

# a = 17 # koepisyent ng # x ^ 2 #

#h = (- 44) / 17 # x coordinate ng vertex

#k = (- 1919) / 17 # y-coordinate ng vertex

# y = 17 (x + 44/17) -1919 / 17 #