Question

find the vertex of the parabola and determine whether its graph opens upward or downward.

\\y = -(x - 16)^2 - 4\\

select the correct choice below and fill in the answer box to complete your choice.
(type an ordered pair.)

a. the vertex of the parabola is and it opens upward.
b. the vertex of the parabola is and it opens downward.

Explanation:

Identify the vertex form

Using the Vertex Form knowledge point

$$ y = a(x - h)^2 + k $$

$$ y = -(x - 16)^2 - 4 $$

$$ a = -1,\quad h = 16,\quad k = -4 $$

$$ (h, k) = (16, -4) $$

Determine the opening direction

Using the Graphing Parabolas knowledge point

$$ a = -1 < 0 $$

The parabola opens downward.

Answer:

• A. The vertex of the parabola is \((16, -4)\) and it opens, upward.
• B. The vertex of the parabola is \((16, -4)\) and it opens downward. (Correct answer)