Complete the square to re-write the quadratic function in vertex form: y=x^(2)-9x-3 Answer: y=

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Complete the square to re-write the quadratic function in vertex form:  y=x^(2)-9x-3 Answer:  y=

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Focus on x-terms: To complete the square, we first need to focus on the x-terms in the quadratic function. The function is y = x^2 - 9x - 3. We want to form a perfect square trinomial with the x-terms. To do this, we take the coefficient of the x-term, which is -9, divide it by 2, and then square the result.Form perfect square trinomial: Dividing the coefficient of x, which is -9, by 2 gives us -4.5. Squaring -4.5 gives us 20.25. This is the number we will add and subtract inside the parentheses to complete the square.Rewrite function with addition and subtraction: We rewrite the function by adding and subtracting 20.25 inside the parentheses: y = (x^2 - 9x + 20.25) - 20.25 - 3. We have added 20.25 to complete the square and subtracted it immediately to keep the equation balanced.Factor perfect square trinomial: Now we can factor the perfect square trinomial inside the parentheses: y = (x - 4.5)^2 - 20.25 - 3.Combine constants: Next, we combine the constants outside the parentheses: -20.25 - 3 equals -23.25. So the function becomes y = (x - 4.5)^2 - 23.25.Quadratic function in vertex form: We have now completed the square, and the quadratic function is in vertex form. The vertex form of the function is y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola. In our case, a = 1, h = 4.5, and k = -23.25.

Complete the square to re-write the quadratic function in vertex form: $\newline$ $y=x^{2}-9 x-3$ $\newline$ Answer: $y=$

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Complete the square to re-write the quadratic function in vertex form:\newliney=x2−9x−3 y=x^{2}-9 x-3 y=x2−9x−3\newlineAnswer: y= y= y=

Complete the square to re-write the quadratic function in vertex form: $\newline$ $y=x^{2}-9 x-3$ $\newline$ Answer: $y=$