Ano ang vertex form ng y = x ^ 2 + 35x + 36?

Sagot:

# y = (x + 17.5) ^ 2-270.25 #

Paliwanag:

Given -

# y = x ^ 2 + 35x + 36 #

Vertex

#x = (- b) / (2a) = (- 35) / (2xx1) = (- 35) /2=-17.5 #

Sa # x = -17.5 #

# y = (-17.5) ^ 2 + 35 (-17.5) + 36 #

# y = (-17.5) ^ 2 + 35 (-17.5) + 36 #

# y = 306.25-612.5 + 36 = -270.25 #

#(-17.5, -270.25)#

Form ng Vertex

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

Saan -

# a = # koepisyent ng # x ^ 2 #

# h = -17.5 #

# k = -270.25 #

Pagkatapos kapalit -

# y = (x - (- 17.5)) ^ 2 + (- 270.25) #

# y = (x + 17.5) ^ 2-270.25 #