Question

Determine whether the equation has no, one, two or infinite solutions without graphing.
y=x^2
y=x-1

y=(x-3)^2-1
y=x^2-6x+8

Answer 1

if you want to sure that
y=x^2 and y=x-1 have not solution you must solve
x^2=x-1
(equivalent to equations)