What is the equation of the following graph in vertex form (0,12) (2,0) (4,-4) (6,0)

X value is going up and y value is moving up and down.  So, it`s look like a quadratic function. y intercept is 12 and x intercept is 2 and 6.  and vertex is (4,-4). than f(x)= a(x-4)^2+4. and put (0,12). and 16a+4=12. a=1/2.  f(x)=1/2x^2-4x+12 or 1/2(x-4)^2+12 

The answer is