Answer:
vertex of the given parabola is ( -5, 41 )
Step-by-step explanation:
The axis of symmetry for the function f(x) = -x² - 10x + 16 is x = -5.
Then we have to find the coordinates of the vertex of the given parabola.
Since line of symmetry always passes through the vertex. therefore, x coordinates of the vertex will be x = -5
Now we will put this value in the equation of the function to get y coordinates.
f(x) = y = - (-5)² - 10 (-5) + 16
= -25 + 50 + 16
= 66 - 25
= 41
Therefore, vertex of the given parabola is ( -5, 41 )
