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Answer :

The vertex form of the given quadratic equation is:

[tex]y = 6*(x + 1)^2 - 16[/tex]

How to rewrite the equation in vertex form?

We have the quadratic equation:

[tex]y = 6x^2 + 12x -10[/tex]

First, we need to find the vertex. The x-value of the vertex is:

h = -12/2*6 = -1

To get the y-value of the vertex, we need to evaluate the function in h, so we get:

y = 6 - 12 - 10 = -16

Then the vertex is (-1, -16)

This means that the vertex form is:

[tex]y = 6*(x + 1)^2 - 16[/tex]

If you want to learn more about quadratic equations:

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Answer:

y = 6(x + 1)2 – 16.  D ON EDGE

Step-by-step explanation: