Put the quadratic into vertex form and state the coordinates of the vertex. y=x^(2)-4x-12 Vertex Form: y= Vertex: (◻,◻)

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Put the quadratic into vertex form and state the coordinates of the vertex.  y=x^(2)-4x-12 Vertex Form:  y= Vertex:  (◻,◻)

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Identify Vertex Form: Identify the vertex form of a parabola. The vertex form of a parabola is y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.Complete the Square: Complete the square to rewrite the quadratic equation in vertex form. Given equation: y = x^2 - 4x - 12 To complete the square, we need to find a value that, when added and subtracted to the equation, forms a perfect square trinomial with the x^2 and -4x terms. The value to complete the square is found by taking half of the coefficient of x and squaring it: (-4/2)^2 = 2^2 = 4.Add and Subtract Value: Add and subtract the value found in Step 2 inside the equation. y = x^2 - 4x + 4 - 4 - 12 y = (x^2 - 4x + 4) - 16 Now, the equation has a perfect square trinomial x^2 - 4x + 4 which can be written as (x - 2)^2.Rewrite in Vertex Form: Rewrite the equation in vertex form using the perfect square trinomial. y = (x - 2)^2 - 16 This is the vertex form of the given quadratic equation.Identify Vertex Coordinates: Identify the coordinates of the vertex from the vertex form. The vertex form of the equation is y = a(x - h)^2 + k, where (h, k) is the vertex. From the equation y = (x - 2)^2 - 16, we can see that h = 2 and k = -16. Therefore, the coordinates of the vertex are (2, -16).

Put the quadratic into vertex form and state the coordinates of the vertex. $\newline$ $y=x^{2}-4 x-12$ $\newline$ Vertex Form: $y=$ $\newline$ Vertex: $(\square, \square)$

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Put the quadratic into vertex form and state the coordinates of the vertex.\newliney=x2−4x−12 y=x^{2}-4 x-12 y=x2−4x−12\newlineVertex Form: y= y= y=\newlineVertex: (□,□) (\square, \square) (□,□)

Put the quadratic into vertex form and state the coordinates of the vertex. $\newline$ $y=x^{2}-4 x-12$ $\newline$ Vertex Form: $y=$ $\newline$ Vertex: $(\square, \square)$