1.how can completing the square aid in solving quadratic functions?
2. what indicators predict that a quadratic function will have a complex solution?

1. Completing saquares permits to extract square root fo find the solutions.

This is the general equation when you complete the squares:

A(x-h)^2 + k = 0

Then you can obtain [x - h]^2 = - K/A and now you can extract square root in both sides.

2) If k and A have the same sigh, then - K/A is negative and the square root has not real solutions, i.e. the solution will be complex.

Where the white dots are is where your points should be plotted.a translation is simply just moving something from one place to another. in this case, you would move each plot point of the original shape 2 units up, and 5 units to the left.