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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=x^(2)+3 Answer:

Find the coordinates of the vertex of the following parabola using graphing technology. Write your answer as an (x,y) (x, y) point.\newliney=x2+3 y=x^{2}+3 \newlineAnswer:

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Q. Find the coordinates of the vertex of the following parabola using graphing technology. Write your answer as an (x,y) (x, y) point.\newliney=x2+3 y=x^{2}+3 \newlineAnswer:
  1. Identify Vertex Form: The vertex form of a parabola is y=a(x−h)2+ky = a(x - h)^2 + k, where (h,k)(h, k) is the vertex of the parabola. The given equation y=x2+3y = x^2 + 3 is already in a form where a=1a = 1, and there is no (x−h)(x - h) term, which means h=0h = 0. The constant term is k=3k = 3. Therefore, the vertex of the parabola is at (h,k)=(0,3)(h, k) = (0, 3).

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