Svar:
# "vertex" -> (x, y) -> (1 / 2,11 / 4) #
Forklaring:
Multiplicere parenteserne med:
#Y = - (4x ^ 2-4x + 1) + x ^ 2-x + 3 #
Multiplicér alt inde i beslaget ved #(-1)# giver
# Y = -4x ^ 2 + 4x-1 + x ^ 2-x + 3 #
# Y = -3x ^ 2 + 3x + 2 #
Skriv som: # Y = -3 (x ^ 2 + 3 / (- 3) x) + 2 #
# => Y = -3 (x ^ 2-x) + 2 #
Overvej koefficienten #-1# fra #-x# inde i parenteserne
#COLOR (blå) (x _ ("toppunkt") = (- 1/2) xx (-1) = + 1/2) #
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Erstatning for #x _ ("vertex") i ligningen
#farve (brun) (y = -3x ^ 2 + 3x + 2 "" -> "" y = -3 (farve (blå) (1/2)) ^ 2 + 3 (farve (blå))) + 2 #
#farve (blå) (y _ ("vertex") = 2 3/4 = 11/4) #
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color (blå) ("vertex" -> (x, y) -> (1 / 2,11 / 4) #
