The problem provides a table of $x$ and $y$ values related to the function $y = (x-2)^2 - a$. The task is to find the value of $a$ based on the given data. From the table, when $x=0$, $y=1$.

1. Problem Description

The problem provides a table of $x$ and $y$ values related to the function $y = (x-2)^2 - a$. The task is to find the value of $a$ based on the given data. From the table, when $x=0$, $y=1$.

2. Solution Steps

We are given the function $y = (x-2)^2 - a$.

We have a pair of $x$ and $y$ values from the table, such as when $x=0$, $y=1$.

Substitute $x=0$ and $y=1$ into the equation:

$1 = (0-2)^2 - a$

$1 = (-2)^2 - a$

$1 = 4 - a$

$a = 4 - 1$

$a = 3$

3. Final Answer

The value of $a$ is 3.