Find the Vertex 2(x-2)^2-1

$2 {(x - 2)}^{2} - 1$

Set the polynomial equal to $y$ to find the properties of the parabola.

$y = 2 {(x - 2)}^{2} - 1$

Use the vertex form, $y = a {(x - h)}^{2} + k$ , to determine the values of $a$ , $h$ , and $k$ .

$a = 2$

$h = 2$

$k = - 1$

Find the vertex $(h, k)$ .

$(2, - 1)$

Find the Vertex 2(x-2)^2-1

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