How do you write the equation in vertex form #x=3y^2+5y-9#?
Please see the explanation.
The vertex form of a parabola of this type is:
where, x and y correspond to any point,
Let's expand the square in equation , multiply the terms by a, and write it directly above equation :
Please observe that
If we set second term in equation [1a] equal to the second term in equation [2a] and we substitute 3 for a, then we can solve for the value of k:
Substitute 3 for a:
This tells us that the first three terms in equation [2a] can be replaced by
Equation [2d] is the vertex form for a parabola that opens to the right or left.
You can read that the vertex is at the point