Mathematics: What is the vertex of the graph of this equation y = -3x^2 - 12x - 9 a. (-2,3) b. (2,3) c. (2,-3) d. (-2,-3)

Pi is infinite so there is ∞ number of numbers in pi hope that helps ...

What is the vertex of the graph of this equation

briannagotfanz

03.01.2022

Option A

Step-by-step explanation:

The graph of a quadratic function is a parabola.

Find the x-coordinate of the vertex of the parabola with:

$x=\frac{-b}{2a}$

In this case:

$b=-12\\a=-3$

Substitute them into the formula. Then:

$x=\frac{-(-12)}{2(-3)}\\\\x=-2$

Now, substitute the x=-2 into the quadratic function to find the y-coordinate of the vertex of the parabola.

Finally:

$y = -3x^2 - 12x - 9\\\\y = -3(-2)^2 - 12(-2) - 9\\y=3$

The vertex is: (-2,3)

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