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

Question

asked Mar 7, 2023 155k views

1 Answer

Karlo · Answer 1 · 2023-03-12T06:20:34+0000

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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:

$\hookrightarrow\sf{-2}$

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