Question

minimum f(x) value for following quadratic function. F(x)=x^2-12x+46
a) 30
b)10
c)14
d)5

Answer 1

Can you put this in completed square form?

Answer 2

Find the vertex.

You can do as @tom982 suggests and complete the square to find the vertex. Vertex is point (h,k). Or you can find the value for x using the formula -b/2a and then solve for f(x).