Question

what are the coordinates of the vertex of the quadratic $y=(x - 2)^2+3$? coordinates of vertex: (2, 3)

Explanation:

Step1: Recall vertex form of quadratic

The vertex form of a quadratic function is \( y = a(x - h)^2 + k \), where \((h, k)\) is the vertex.

Step2: Identify h and k from given equation

For the equation \( y=(x - 2)^2+3 \), compare with \( y = a(x - h)^2 + k \). Here, \( h = 2 \) and \( k = 3 \). So the vertex is \((h, k)=(2, 3)\).

Answer:

\((2, 3)\)