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Find the vertex of this parabola:
y = -x2 - 4x - 2


Sagot :

Hello!

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

[tex]\bold{\displaystyle\frac{-b}{2a} }}[/tex]

Remember, a parabola looks like so:

[tex]\tt{y=ax^2+bx+c}[/tex]

Now we know what a and b stand for.

In this case, b is -4, and a is -1:

[tex]\hookrightarrow\sf{\displaystyle\frac{-(-4)}{2(-1)}[/tex]

Simplify:

[tex]\hookrightarrow\sf{\displaystyle\frac{4}{-2} }}[/tex]

Divide:

[tex]\hookrightarrow\sf{-2}[/tex]

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Notes:

  • Hope everything is clear.
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Answered by:

[tex]\mathbb{DiAmOnD}\\{\boxed{An~Emotional~And~Creative~Helper}}}}[/tex]