Answer
Yes, the graph of ${{Y}_{1}}$ passes through the origin.
Work Step by Step
The table above shows different values x for different values of y.
The provided table represents the value of ${{y}_{1}}=0$ when $x=0$.
And for the graph to be passing through the origin, the equation of the graph must have passed through $\left( 0,0 \right)$.
Therefore, the graph of ${{y}_{1}}$ passes through the origin.
