Discover the Vertex of y=(x-1)²+3: A Parabola Challenge

Find the vertex of the parabola

$y=(x-1)^2+3$

To find the vertex of the parabola described by the equation $y = (x-1)^2 + 3$, we recognize that it is already in the vertex form $y = a(x-h)^2 + k$.

Identify the components:

• The expression $(x-1)$ indicates that $h = 1$.
• The constant term $+3$ indicates that $k = 3$.

The vertex of the parabola is the point $(h, k)$.

Therefore, the vertex of the given parabola is $(1, 3)$.