Put the quadratic into vertex form and state the coordinates of the vertex. y=x^(2)+2x-24 Vertex Form: y= Vertex: (◻,◻)

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Put the quadratic into vertex form and state the coordinates of the vertex.  y=x^(2)+2x-24 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 for the quadratic equation y = x^2 + 2x - 24. 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 2x terms.Calculate Value: Calculate the value needed to complete the square. The coefficient of x is 2, so we take half of it, which is 1, and then square it to get 1^2 = 1.Add and Subtract: Add and subtract the calculated value inside the equation. We add 1 and subtract 1 inside the parentheses to maintain the equality of the equation. y = x^2 + 2x + 1 - 1 - 24Rewrite Equation: Rewrite the equation by grouping the perfect square trinomial and the constants. y = (x^2 + 2x + 1) - 25Factor Trinomial: Factor the perfect square trinomial. y = (x + 1)^2 - 25Write in Vertex Form: Write the equation in vertex form. The vertex form of the equation is y = (x + 1)^2 - 25.Identify Vertex Coordinates: Identify the coordinates of the vertex. The vertex form y = a(x - h)^2 + k gives us the vertex (h, k). In our equation y = (x + 1)^2 - 25, we have h = -1 and k = -25. Therefore, the vertex is (-1, -25).

Put the quadratic into vertex form and state the coordinates of the vertex. $\newline$ $y=x^{2}+2 x-24$ $\newline$ 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+2x−24 y=x^{2}+2 x-24 y=x2+2x−24\newlineVertex Form: y= y= y=\newlineVertex: (□,□) (\square, \square) (□,□)

Put the quadratic into vertex form and state the coordinates of the vertex. $\newline$ $y=x^{2}+2 x-24$ $\newline$ Vertex Form: $y=$ $\newline$ Vertex: $(\square, \square)$