155k views
18 votes
Find the vertex of this parabola:
y = -x2 - 4x - 2

User Technomage
by
5.1k points

1 Answer

9 votes

Hello!


===============================

In order to find the vertex of a parabola, we use the following formula:


\bold{\displaystyle(-b)/(2a) }}

Remember, a parabola looks like so:


\tt{y=ax^2+bx+c}

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))

Simplify:


\hookrightarrow\sf{\displaystyle(4)/(-2) }}

Divide:


\hookrightarrow\sf{-2}


===================================

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}}}}

User Karlo
by
6.0k points