Use the information provided to write the equation of the parabola in vertex form. y=-3x2 - 6x +1 a d=3(x+3)²+2 b. y = 3(x+1)+4 y=-3(x+3)² +2 d. y=-3(x+1)+4

Step-by-step explanation:

The vertex form of the equation of  a parabola is:

Where (h, k) is the vertex of the parabola.

To write in vertex form, you need to complete the square:

1. Move the 1 to the other side of the equation:

2. Since the leading coefficient must be 1, you need to factor out -3:

3. Divide the coefficient of the x-term inside the parentheses by 2 and square it:

4. Now add 1 inside the parethenses and -3(1) to the other side of the equation (because you factored out -3):

5. Convert the right side of the equation to a squared expression:

6. And finally, you must solve for "y":