Answer
The corresponding point is $\left( \left( a+3 \right),b \right)$.
Work Step by Step
Consider the given expression $y=f\left( x-3 \right)$.
The graph of the function $y=f\left( x-3 \right)$ is obtained by shifting the graph of the function $f\left( x \right)$ horizontally towards the right. All the x coordinates are shifted to $x+3$.
Thus, we will substitute the coordinate $x+3$ in the place of x and the point on the $y$ axis remains the same.
Therefore, the point $\left( a,b \right)$ on the graph of $y=f\left( x \right)$ corresponds to a point $\left( \left( a+3 \right),b \right)$ on the graph of the function $y=f\left( x-3 \right)$.
