Answer
The corresponding point is $\left( a,b-3 \right)$.
Work Step by Step
Consider the given expression $y=f\left( x \right)-3$.
The graph of the function $y=f\left( x \right)-3$ is obtained by shifting the graph of the function $y=f\left( x \right)$ vertically 3 units downwards .
All the values of the function $y=f\left( x \right)-3$ obtained will be 3 units less than the values of the function $y=f\left( x \right)$.
So, we will substitute the coordinate of $y-3$ in the place of y and the point on the $x$ axis remains the same.
Therefore, the point $\left( a,b \right)$ on the graph of $y=f\left( x \right)$ corresponds to a point $\left( a,b-3 \right)$ on the graph of the function $y=f\left( x \right)-3$.
