Complete the square to re-write the quadratic function in vertex form: y=x^(2)+x-10 Answer: y=

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Complete the square to re-write the quadratic function in vertex form:  y=x^(2)+x-10 Answer:  y=

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Focus on x^2 and x terms: To complete the square and rewrite the quadratic function in vertex form, we first need to focus on the x^2 and x terms. The vertex form of a quadratic function is y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola. We will complete the square for the x terms to transform the given function into this form.Find completing square value: The coefficient of x^2 is 1, which is already in the form we need for completing the square. We will take the coefficient of x, which is 1, divide it by 2, and then square it to find the value that completes the square. (1/2)^2 = 1/4Add/subtract to complete square: We add and subtract this value inside the parentheses to complete the square. We must also ensure that we do not change the value of the expression by adding 1/4 and subtracting 1/4 (which effectively adds zero). y = x^2 + x + (1/4) - (1/4) - 10Rewrite with completed square: Now we can rewrite the expression with the completed square and the constant terms grouped together. y = (x^2 + x + 1/4) - 1/4 - 10Factor perfect square trinomial: The expression in the parentheses is a perfect square trinomial, which can be factored into (x + 1/2)^2. y = (x + 1/2)^2 - 1/4 - 10Combine constant terms: Now we combine the constant terms -1/4 and -10. Since -10 is the same as -40/4, we have: -1/4 - 40/4 = -41/4Substitute back into equation: Substitute the combined constant term back into the equation to get the vertex form of the quadratic function. y = (x + 1/2)^2 - 41/4

Complete the square to re-write the quadratic function in vertex form: $\newline$ $y=x^{2}+x-10$ $\newline$ Answer: $y=$

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Complete the square to re-write the quadratic function in vertex form:\newliney=x2+x−10 y=x^{2}+x-10 y=x2+x−10\newlineAnswer: y= y= y=

Complete the square to re-write the quadratic function in vertex form: $\newline$ $y=x^{2}+x-10$ $\newline$ Answer: $y=$