Odgovor:
# y = (x + 17.5) ^ 2-270.25 #
Pojasnilo:
Glede na -
# y = x ^ 2 + 35x + 36 #
Vertex
#x = (- b) / (2a) = (- 35) / (2xx1) = (- 35) /2=-17.5#
At
# 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)#
Vertexna oblika
# y = a (x-h) ^ 2 + k #
Kje -
# a = # koeficient. t# x ^ 2 #
# h = -17,5 #
# k = -270.25 #
Potem nadomestite -
# y = (x - (- 17,5)) ^ 2 + (- 270,25) #
# y = (x + 17.5) ^ 2-270.25 #