What is the vertex form of the equation y equals 3x squared + 6x - 4​

y = 3(x + 1)² - 7

Step-by-step explanation:

y = 3x² + 6x - 4

First, factor out the coefficient of the quadratic eq'n:

y = 3(x² + 2x - ⁴/₃)

Use the "complete the square" rule;

The "x² + 2x" should be rewritten as "(x + 1)² - 1", i.e. place into squared brackets x (without the power 2) and add half the coefficient of the x-term, you then need to subtract the square of the constant term in the squared brackets and then simplify:

y = 3((x + 1)² - 1 - ⁴/₃)

y = 3((x + 1)² - ⁷/₃)

Finally, multiply the 2 terms you end up with by the 3, factored out initially:

y = 3(x + 1)² - 7

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step-by-step explanation: