which equation is y = 6x2 + 12x – 10 rewritten in vertex form?
y = 6(x + 1)2 – 11
y = 6(x + 1)2 – 10
y = 6(x + 1)2 – 4
y = 6(x + 1)2 – 16

Remember that the vertex form of a parabola is where is the vertex of the parabola.

Now, to find the vertex of the parabola, we are going to use the vertex formula:

For a quadratic of the form , the vertex is given by:

in other words, we find by evaluating the function at

We know form our quadratic that and , so let's use our formula to find :

Now we can evaluate our function at to find :

Now, we can rewrite our parabola in vertex form:

, , and

We can conclude that the correct answer is: y = 6(x + 1)2 – 16