Question

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

Answer 1

Hello!

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

$\bold{\displaystyle\frac{-b}{2a} }}$

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:

$\hookrightarrow\sf{\displaystyle\frac{-(-4)}{2(-1)}$

Simplify:

$\hookrightarrow\sf{\displaystyle\frac{4}{-2} }}$

Divide:

$\hookrightarrow\sf{-2}$

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Notes:

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