Quadratics(This stinks)

for example y = x²-2x will be y = 0²-2x so y = 0,0

In a concave down the maximum value will be the value it will never be. So it is the point where it starts turning down. In a concave up the minimum value is the opposite The y coordinate of the vertex.

The vertex is the point where it starts turning the other way

the equation y=a(x-h)²+k, we can see that the turning point has the coordinates (h, k).

If we compare y=x², whose vertex is at 0,0, to y = a(x-h)², then we can think of the second equation and its graph as a transformation of y=x²:

h represents the number of units that y=x² is translated horizontally, and k represents the number of units that y =x²is translated vertically. \(x = -b/2a\) simply plug the x thingemembob into the thing to get the y coordinate \(y = (x)^{2 }+ b(x) -c\)

\(x=-b/2a\) subtitue the stuff with the coefficents(i think)

This is used to find: The x coordinate the best. b is 2^nd coefficient a is the 1st coefficient idk if this works for things with more than 2 variables -1.5