Next you have to have a +1 as the leading coefficient, and ours is a 3, so we factor it out:
. Now take half the linear term, square it, and add it in to both sides. Our linear term is 2/3. Half of 2/3 is 2/6 which reduces to 1/3. Squaring 1/3 gives us 1/9, so that's what we add in.
to the right of the equals sign we added in 3*1/9 which is 3/9, which reduces to 1/3. Now we clean up both sides. The right side is easy; the left side, not so much. The reason we do this (complete the square) is to get a perfect square binomial on the left. When we re-write the left side into that perfect square binomial, we get
Now we move the constant back over and set the parabola back equal to y:
which shows us that the vertex is 
What is the vertex of the parabola with the equation y
3x2 + 2x – 8?...
Mathematics, 26.06.2021 01:00 unkown77
What is the vertex of the parabola with the equation y
3x2 + 2x – 8?
Answers: 3
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