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? (−5, 41) (−5, 56) (−5, 76) (−5, 91)

we have

Convert the function into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Complete the square. Remember to balance the equation by adding the same constants to each side

Rewrite as perfect squares

--------> function in vertex form

the vertex is the point

the axis of symmetry must coincide with the x-coordinate of the vertex

so

------> is correct

therefore

the answer is the option

yes

step-by-step explanation:

yes

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