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?

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 )

step-by-step explanation:

graph them on a graphing calculator, press 2nd trace. select intersect. hit enter until it says answer. ti 84 works best

step-by-step explanation: