Find the coordinates of the vertex of the following parabola using graphing technology. Write your answer as an (x,y) point. y=2x^(2)-8 Answer:

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Find the coordinates of the vertex of the following parabola using graphing technology. Write your answer as an  (x,y) point.  y=2x^(2)-8 Answer:

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Identify Vertex Form: The vertex form of a parabola is given by y = a(x-h)^2 + k, where (h, k) is the vertex of the parabola. To find the vertex of the given parabola y = 2x^2 - 8, we need to complete the square or use the vertex formula h = -b/(2a) for a parabola in standard form y = ax^2 + bx + c. Since there is no bx term in the given equation, b = 0. Therefore, we can directly apply the vertex formula.Apply Vertex Formula: Using the vertex formula h = -b/(2a), we substitute a = 2 and b = 0 into the formula to find the x-coordinate of the vertex. h = -0/(2*2) = 0 The x-coordinate of the vertex is 0.Calculate Coordinates: To find the y-coordinate of the vertex, we substitute the x-coordinate back into the original equation y = 2x^2 - 8. y = 2(0)^2 - 8 = -8 The y-coordinate of the vertex is -8.Final Vertex: The coordinates of the vertex of the parabola are (0, -8).

Find the coordinates of the vertex of the following parabola using graphing technology. Write your answer as an $(x, y)$ point. $\newline$ $y=2 x^{2}-8$ $\newline$ Answer:

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Find the coordinates of the vertex of the following parabola using graphing technology. Write your answer as an (x,y) (x, y) (x,y) point.\newliney=2x2−8 y=2 x^{2}-8 y=2x2−8\newlineAnswer:

Find the coordinates of the vertex of the following parabola using graphing technology. Write your answer as an $(x, y)$ point. $\newline$ $y=2 x^{2}-8$ $\newline$ Answer: