Answer:
![f(x) = x^2](https://img.qammunity.org/2021/formulas/mathematics/high-school/1exch2ousbft821kgldh8pgixbmnak871b.png)
And we want to scale vertically this parabola by a factor of 7. So then we need to multiply our function by the factor:
![g(x) = k f(x)](https://img.qammunity.org/2021/formulas/mathematics/college/z0vrh23qf1zr4e4jhybq7ovlltwllp1qph.png)
And then function would be:
![g(x) = 7x^2](https://img.qammunity.org/2021/formulas/mathematics/college/qp77w3wp3kmvt75qms975q03hxbo2tj96q.png)
Explanation:
For this case we have the original function given by:
![f(x) = x^2](https://img.qammunity.org/2021/formulas/mathematics/high-school/1exch2ousbft821kgldh8pgixbmnak871b.png)
And we want to scale vertically this parabola by a factor of 7. So then we need to multiply our function by the factor:
![g(x) = k f(x)](https://img.qammunity.org/2021/formulas/mathematics/college/z0vrh23qf1zr4e4jhybq7ovlltwllp1qph.png)
And then function would be:
![g(x) = 7x^2](https://img.qammunity.org/2021/formulas/mathematics/college/qp77w3wp3kmvt75qms975q03hxbo2tj96q.png)