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Yes it can. A linear equation in the form of y=mx+b can always be graphed used the x and y intercepts.
YES, all linear equations have x-intercepts. because of the x, y has to be there 2!
If there is no y, then the equation is of the form x = c where c is some constant value. And so the line intercepts the x axis at (c,0).
Let us say you X intercepts are -2 and 3 set up (X + 2)(X - 3) FOIL X^2 - X - 6 = 0 ----------------------- your parabolic equation
The roots of the quadratic equation are the x-intercepts of the curve.