Determine which of the following statements are true if Parabola 1 has the equation f(x)=x^2- 6x+8 and Parabola 2 has a leading coefficient of 1 and zeros at x= -6 and x=-2. Check all that apply.

a. Parabola 1 and Parabola 2 have the same line of symmetry.

b. Parabola 1 and Parabola 2 do not have a zero in common.

c. Parabola 1 crosses the y-axis higher than Parabola 2.

d. Parabola 1 has a lower minimum than Parabola 2.