The parent function of the quadratic function is
![y=x^2](https://img.qammunity.org/2023/formulas/mathematics/college/1ch5n55tacdusoaz2xqjwppl7gqbo47w29.png)
∵ x is added by 7
∴ The graph of the function is translated 7 units to the left
∴ The image of the function will be
![y=(x+7)^2](https://img.qammunity.org/2023/formulas/mathematics/college/o0z6livnctqe59fzk3tsbsuz4sss5h6bue.png)
∵ The function is added by -4
∴ The graph of the function translated 4 units down
∴ The image of the function will be
![y=(x+7)^2-4](https://img.qammunity.org/2023/formulas/mathematics/high-school/4fcqvuou6w792si5esgv79xzjtn73lctq7.png)
The transformation is
Shift 7 units left and shift down 4
The answer is D