The equation of a parabola is y = x^2 - 8x + 25. Write the equation in vertex form. Write any numbers as integers or simplified proper or improper fractions. ______

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The equation of a parabola is y = x^2 - 8x + 25. Write the equation in vertex form.  Write any numbers as integers or simplified proper or improper fractions. ______

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Identify Vertex Form: Identify the vertex form of a parabola. The vertex form of a parabola is given by y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.Complete Square Transformation: Complete the square to transform the given equation into vertex form. The given equation is y = x^2 - 8x + 25. To complete the square, we need to find the value that makes x^2 - 8x a perfect square trinomial. This value is (8/2)^2 = 4^2 = 16. We will add and subtract this value inside the equation.Add/Subtract Value: Add and subtract the value found in Step 2 to the equation. y = x^2 - 8x + 25 y = x^2 - 8x + 16 + 25 - 16 We added and subtracted 16 to complete the square without changing the value of the equation.Rewrite Equation: Rewrite the equation by grouping the perfect square trinomial and combining the constants. y = (x^2 - 8x + 16) + (25 - 16) y = (x - 4)^2 + 9 Now the equation is in vertex form, where (x - 4)^2 is the perfect square trinomial and 9 is the combined constant.

The equation of a parabola is $y = x^2 - 8x + 25$ . Write the equation in vertex form. $\newline$ Write any numbers as integers or simplified proper or improper fractions. $\newline$ ______

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The equation of a parabola is y=x2−8x+25y = x^2 - 8x + 25y=x2−8x+25. Write the equation in vertex form.\newlineWrite any numbers as integers or simplified proper or improper fractions.\newline______

The equation of a parabola is $y = x^2 - 8x + 25$ . Write the equation in vertex form. $\newline$ Write any numbers as integers or simplified proper or improper fractions. $\newline$ ______