Wat is de vertex-vorm van 5y = 3x ^ 2 -2x +8?

Wat is de vertex-vorm van 5y = 3x ^ 2 -2x +8?
Anonim

Antwoord:

#(1/3, 23/15)#

Uitleg:

# 5j = 3x ^ 2-2x + 8 #

# 5y = 3 x ^ 2- (2/3) x + 8 #

# 5y = 3 x ^ 2- (2/3) x + (1/3) ^ 2 + 8-1 / 3 #

# 5y = 3 (x-1/3) ^ 2 + 23/3 #

# Y = 3/5 (x-1/3) ^ 2 + 23/15 # => in de hoekvorm van:

# Y = a (x-h) ^ 2 + k # => waar # (h, k) # is de vertex, dus de vertex is:

#(1/3, 23/15)#