How do i find the coordinates of the vertex of the graph of the function
y= 4x squared -3

Either graph and look for the minimum or, algebraically, you pretty much have to use guess and check. In quadratics (x^2 functions) that look like this one (an x^2 term and a constant term, -3 in this case), the minimum is always located at x=0. Thus, the minimum for this graph is (0,-3)

That’d be 9 years or something