Question

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Answer 1

y = 3(x + 4)^2 + 31

Step-by-step explanation:

We can convert the given quadratic equation into its vertex form by completing the square:

y = 3x^2 + 24x + 43

= 3(x^2 + 8x) + 43

= 3(x^2 + 8x + 4) + 31

= 3(x + 4)^2 + 31

This is the vertex form of the given quadratic equation with (-4, 31) as its vertex