Question

find the vertex of this quadratic function.

\\y = -3x^2 - 30x - 85\\

(?, )

Explanation:

Identify coefficients from standard form

Using the Quadratic Standard Form knowledge point

$$
LATEXBLOCK0
$$

Calculate the x-coordinate of the vertex

Using the Axis of Symmetry knowledge point

$$
LATEXBLOCK1
$$

Calculate the y-coordinate of the vertex

Substitute \(x = -5\) into the original quadratic equation:

$$
LATEXBLOCK2
$$

State the vertex coordinates

The coordinates of the vertex \((h, k)\) are:

$$ (h, k) = (-5, -10) $$

Answer:

Find the vertex of this quadratic function.
\(y = -3x^2 - 30x - 85\)
(<blank>-5</blank>, <blank>-10</blank>)