Answer
The corresponding point is $\left( a,2b \right)$.
Work Step by Step
Consider the equation $y=2f\left( x \right)$.
Since every value of the function obtained is to be multiplied by the number 2, the graph would look stretched vertically.
Thus, multiply the $y$ coordinate of the function $y=f\left( x \right)$ by a factor of 2.
Therefore, the point $\left( a,b \right)$ on the graph of $y=f\left( x \right)$ corresponds to a point $\left( a,2b \right)$ on the graph of the function $y=2f\left( x \right)$.
