Question

Which of the following functions shows the quadratic parent function, F(x)=x^2,shifted down

Answer 1

`\begin{gathered} \text{Given} \\ F(x)=x^2\text{ parent function} \end{gathered}`

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.

`G(x)=x^2+1\text{ and }G(x)=x^2-3`

Positive denotes an upward shift, and negative a downward shift.

The function therefore that shows the quadratic parent function shifted down is

`G(x)=x^2-3`