Hello!
![===============================](https://img.qammunity.org/2023/formulas/mathematics/high-school/dsbeg7rttk6bx5nmm94lxswev99v2a9pdm.png)
In order to find the vertex of a parabola, we use the following formula:
![\bold{\displaystyle(-b)/(2a) }}](https://img.qammunity.org/2023/formulas/mathematics/college/q9fevd5on35mvcdo78tpqfeyql5tvmjitg.png)
Remember, a parabola looks like so:
![\tt{y=ax^2+bx+c}](https://img.qammunity.org/2023/formulas/mathematics/college/7zcr6xca0mhzfjr5zokx50ko6kogq9m957.png)
Now we know what a and b stand for.
In this case, b is -4, and a is -1:
![\hookrightarrow\sf{\displaystyle(-(-4))/(2(-1))](https://img.qammunity.org/2023/formulas/mathematics/college/lntk7djqv4iqnklrqdtdoylyo9bi2ndgai.png)
Simplify:
![\hookrightarrow\sf{\displaystyle(4)/(-2) }}](https://img.qammunity.org/2023/formulas/mathematics/college/yb3p01l5efg97yb8g3e20xvf5swuovbzxh.png)
Divide:
![\hookrightarrow\sf{-2}](https://img.qammunity.org/2023/formulas/mathematics/college/r4rxt7bci9fnemj3rn3wyoxsw6f9k2bha1.png)
![===================================](https://img.qammunity.org/2023/formulas/mathematics/high-school/7f8n2q6lltdhi0b5zh9msewa28cbvxynpk.png)
Notes:
- Hope everything is clear.
- Let me know if you have any questions!
- Enjoy your day!
- Always remember: Knowledge is power!
Answered by:
![\mathbb{DiAmOnD}\\{\boxed{An~Emotional~And~Creative~Helper}}}}](https://img.qammunity.org/2023/formulas/mathematics/college/m5h61d012phj4d4lgifih9n4s1ettcf5h8.png)