Can anyone help me with this?
I don't need the answer given to me. Just an explanation on what to do, or any help at all would be really appreciated. I've tried Google and math sites with no help. This is really starting to frustrate me
Equation is y = ax2+bx+c
Given the plot you have the system :
5 = a*22+b*2+c
-2 = a+b+c
As the parabola passes by the points (2,5) (1,-2) (0,-5), x is the first coordinate and y the second and these coordinates are solutions to the equation (as the aquation represents the parabola)
You solve the system and find
a=2 b=1 c=-5
If you're wonder how he comes up with this, as his first note mentions, all parabolas are quadratic funcitons, and thus they can be written in the form y= a X^2 + bX + c, where a, b, c are coefficients.
He then takes that base and plugs values for X and Y (from each point given in the graph) and then solves the systems of three equations to find the coefficients, a b and c.
...calc?.... you're kidding or she's lying. This aint calc man. this is algebra. even in multivariant calc, where you come across tilts and other means things (fuck you elipsoids) you'd have to already be familiar with this stuff.
Eternal respect (and severe envy) to mathemagicians.