Final answer:
The Factored Form is the best type of quadratic equation for determining initial conditions by inspection without calculations.
Step-by-step explanation:
The best type of quadratic equation for determining initial conditions by inspection without calculations is Factored Form (Option C).
In factored form, the quadratic equation is expressed as follows: f(x) = a(x - r)(x - s), where r and s are the roots (or zeros) of the equation.
By examining the factored form of the equation, you can determine the initial conditions by identifying the x-intercepts or zeros, without the need for calculations.