Aparabola opens upward and has no vertical stretch. the complex roots of the quadratic function are 6 + 4i and 6 – 4i. determine the function rule.

Step-by-step explanation:

Describing the function rule means that you are going to write the equation of the parabola using that roots.  If x = 6 + 4i, then the factor for that is

(x - 6 - 4i).

If x = 6 - 4i, then the factor for that is

(x - 6 + 4i).

FOILing that together gives you a long string of x- and i-terms with a constant or 2 thrown in:

What's nice here is that 4ix and -4ix cancel each other out; likewise 24i and -24i.  Once that is all canceled away, we are left with

The i-squared is what makes this complex.  i-squared = -1, so

and

and

y-y1=4(x-x1)

step-by-step explanation:

this is point-slope form since you only have 4 as the slope it goes in place of m

hope this : )