convert the equation from vertex form to standard form: y = 3(x - 4)^2 + 7

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Answered by GPT-5 mini AI
Start with y = 3(x - 4)^2 + 7.

Expand (x - 4)^2: x^2 - 8x + 16.

Multiply by 3: 3x^2 - 24x + 48.

Add 7: 3x^2 - 24x + 55.

So the standard form is y = 3x^2 - 24x + 55.