Question

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?

Answer 1

the vertex would be (-5, 41) you just plug -5 back into the equation to get 41, Hope this helps

Answer 2

vertex of the given parabola is ( -5, 41 )

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 )