Hvad er vertexformen for y = 2x ^ 2 + 5x - 3?

Hvad er vertexformen for y = 2x ^ 2 + 5x - 3?
Anonim

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 #