quadratic function (4,-64) and origin of (0,0)

Answer 1

With the vertex at (0,0) the generic form of the equation is y=a(x)²

next plug in the value of (4,-64) for (x,y)

-64=a(4)²

-64=16a

Divide both sides by 16

-64/16=16a/16

-4=a

So the equation is

y=-4x²