Question

Write the coordinates of the vertex of the given quadratic function.

• Write your answer with no spaces.
• Example: (-1,2)
f(x) = -2(x +4)2-6

Answer 1

The coordinates of the vertex of the given quadratic function are (-4, -6).

Step-by-step explanation:

The given quadratic function is f(x) = -2(x +4)²-6.

To find the coordinates of the vertex, we need to rewrite the function in vertex form, which is f(x) = a(x - h)² + k. In this form, the vertex is (h, k).

Let's rewrite the given function accordingly:

f(x) = -2(x +4)²-6 = -2(x + 4)(x + 4) - 6 = -2(x + 4)² - 6.

Comparing this function to the vertex form, we can see that h = -4 and k = -6.

Therefore, the coordinates of the vertex are (-4, -6).