The correct option is C y=x2−3x+2
For y=5x, As x→−∞ gives y=0 is a horizontal asymptote.
For y=logex, As x→0+ gives y→−∞. So, x=0 is a vertical asymptote.
For y=x2−3x+2, is a parabola
So, no any asymptotes.
For x2−4y2=4, is hperbola.
So, two asymptotes.