I have been developing an RPG and I finally want to program a better development curve. I have decided to use the following equations
Linear, Quadratic and Cubic
The Linear one is easy. I have no problems with that. But I'm stuck with the other 2.
The formula for this equation is $y = ax^2 + bx + c$ What I want to do is find out what $a$ and $b$ are. Given that I know what $y$, $x$ and $c$ are. How would I figure out what this is?
The formula for this equation is $y = ax^3 + bx^2 + cx + d$ What I want to do is find out what $a, b$ and $c$ are. Given that I know what $y, x$ and $d$ are. How would I figure out what this is?
Can anyone help me with this? This is the first time learning about curves and I am falling flat.
Bonus Question In the Cubic equation, there is a part that looks like the middle of an S. How would I extend that middle in the equation?
Bonus Question 2 I'd love to know about more graph based curves built using equations. Do you know of any?
Thanks for any help!