If we express 3x^2 + x - 4$ in the form $a(x - h)^2 + k$, then what is $k$?
+128474 3x^2 + x - 4 factor out the 3
3 (x^2 + (1/3)x - 4/3) complete the square on x
3 ( x^2 + (1/3)x + 1/36 - 4/3 -1/36) factor the first three terms in the parentheses, simplify the rest
3 [ ( x + 1/6)^2 - 48/36 - 1/36 ]
3[(x + 1/6)^2 - 49/36]
3(x + 1/6)^2 - 49/12
k = -49/12
