Answer
Yes, it makes sense.
Work Step by Step
Consider both the provided equation.
$y={{x}^{2}}-1$and$f\left( x \right)={{x}^{2}}-1$
Here, both the above term has the same method of plotting on the graph. Both the terms have the same variable and constant that gives same output. The output term of the function behaves like the output term of the equation and will behave as ordinate to plot. This shows that both follow this same method for plotting.
Thus, the given statement makes sense.