The axis of symmetry for the function f(x) = −x2 − 10x + 16 is x = −5. what are the coordinates of the vertex of the graph?

The coordinates of the vertex are (-5, 41)

Step-by-step explanation:

For a quadratic function of the form

Where a, b and c are constants and represent the coefficients of the function, then the symmetry of the parabola always passes through its vertex.

In this case we have the following parabola

And we know that its axis of symmetry is the line

Then we know that this axis of symmetry passes through the vertex of the parabola.

Therefore, the x coordinate of the vertex is -5.

To find the coordinate in y of the vertex, we substitute x = -5 in the function.

Finally, the vertices are in the point (-5, 41).

i'm sorry mate, but i am not seeing any figures. i am unable to solve this for you.