From the figure, y=ax? +bx+c intersects the x axis and has two intersections, and the equation ax can be obtained. +bx+c=0, that is, this equation has two unequal real roots, so △=b? -4ac > 0, and the conclusion (1) is correct.

Bring x=0 into the above formula and get y=c, which is the intersection of the function and the y axis. According to the diagram, the ordinate of the intersection is between 0 and 1, so 0.

The symmetry axis is -b/2a, and the symmetry axis is on the left side of the Y axis, which is represented by-1

Bring x= 1 into y=ax? +bx+c, y=a+b+c, as shown in the figure. When x= 1, the value of y is less than 0, so a+b+c.

So the correct one is (1)(3)(4).