Finding+the+vertex+by+b+over+2aSet+6

Find the vertex of the following parabolic equation: 3x²+3x+12y+22=7 (Jack)

Sarah Schwartz Answer: (-1/2, 21/16)

3x²+3x+12y+22=7 12y = -3x²-3x-15 y = -1/4x²-1/4x-5/4

-b/2a = (1/4) / (-1/2) = 1/4 x -2/1 = -1/2 plug in this value for x to get the y coordinate of the vertex

y = -1/4(1/4) + 1/4(1/2) - 5/4 y = -1/16 + 1/8 - 5/4 y = -1/16 + 2/16 + 20/16 y = 21/16