Hvad er vertexformen for y = (x + 2) (x + 5)?

Svar:

Vertex form af # Y = (x + 2) (x + 5) # er # Y = (x + 7/2) ^ 2-9 / 4 #

Forklaring:

Vertex form for ligning er # Y = a (x-h) ^ 2 + k #, hvor # (H, k) # er vertexet.

Her har vi # Y = (x + 2) (x + 5) #

# = X ^ 2 + 7x + 10 #

# = x ^ 2 + 2xx7 / 2xx x + (7/2) ^ 2-49 / 4 + 10 #

# = (X + 7/2) ^ 2-9 / 4 #

Dermed krydsform af # Y = (x + 2) (x + 5) # er # Y = (x + 7/2) ^ 2-9 / 4 #

graf {(x + 2) (x + 5) -11,75, 8,25, -4,88, 5,12}