Care este forma vertexului y = 1 / 5x ^ 2-4 / 7x + 3/5?

Care este forma vertexului y = 1 / 5x ^ 2-4 / 7x + 3/5?
Anonim

Răspuns:

# Y = 1/5 (x-10/7) ^ 2 + 47/245 #

Explicaţie:

# 1 / 5x ^ 2-4 / 7x + 3/5 #

# = 1/5 (x ^ 2-20 / 7x) + 3/5 #

# = 1/5 (x ^ 2-20 / 7x + (20 / 7divide2) ^ 2- (20 / 7divide2) ^ 2) + 3/5 #

# = 1/5 (x-10/7) ^ 2-1 / 5 * 100/49 + 3/5 #

# = 1/5 (x-10/7) ^ 2 + (3 * 49-100) / (5 * 49) #

# = 1/5 (x-10/7) ^ 2 + 47/245 #