Svar:
# "Formen af ligningen er:" #
# Y = 2 (x + 5/4) ^ 2-49 / 8 #
Forklaring:
# y = ax ^ 2 + bx + c "Standardformular" #
# y = a (x-h) ^ 2 + k "Vertex form" #
#P (h, k) "repræsenterer koordinaten af vertex" #
# Y = 2x ^ 2 + 5x-3 #
# a = 2 ";" b = 5 ";" c = -3) #
# H = -b / (2a) #
# H = -5 / (2 * 2) = - 5, / 4 #
# K = 2 * (- 5/4) ^ 2 + 5 * (- 5/4) -3 #
# K = 2 * 25 / 16-25 / 4-3 #
# K = 50 / 16-25 / 4-3 #
# K = (50-100-48) / 16 #
# k = -49 / 8 = -6,13 "Afrundet to decimaler" #
# "Formen af ligningen er:" #
# Y = 2 (x + 5/4) ^ 2-49 / 8 #
