Question:
Solution:
Note that the standard quadratic form of a quadratic polynomial is given by the following equation:
![ax^2+bx+c\text{ = }y](https://img.qammunity.org/2023/formulas/mathematics/college/t75vo3t5d04lvdfxumqhtkj215stdu5mux.png)
so that, the vertex form of a quadratic equation is
![y\text{ = a(}x-h)^2+k](https://img.qammunity.org/2023/formulas/mathematics/college/hyscfcyxe8rm6zqqogpgdi3qwjryxdkomm.png)
where (h,k) is the so-called vertex. Thus, according to this, we can say that the equation that represents a vertex (h,k)=(3,-3) is
![y\text{ = 5(}x-3)^2\text{-}3](https://img.qammunity.org/2023/formulas/mathematics/college/9udddff71bkal5avnxui2hya71id3rhgga.png)
then, we can conclude that the correct answer is:
![y\text{ = 5(}x-3)^2\text{-}3](https://img.qammunity.org/2023/formulas/mathematics/college/9udddff71bkal5avnxui2hya71id3rhgga.png)