[tex]\begin{gathered} \text{Given} \\ F(x)=x^2\text{ parent function} \end{gathered}[/tex]
The constant term of a quadratic function serves as the number of units it has a vertical shift.
We have two function which represents this.
[tex]G(x)=x^2+1\text{ and }G(x)=x^2-3[/tex]
Positive denotes an upward shift, and negative a downward shift.
The function therefore that shows the quadratic parent function shifted down is
[tex]G(x)=x^2-3[/tex]
