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what is the axis of symmetry of the graph of function f(X) = X2 - 10X +16

Sagot :

Answer:

Axis of Symmetry: [tex]x=5[/tex]

Step-by-step explanation:

The axis of symmetry is defined as the line [tex]x=\frac{-b}{2a}[/tex]. Therefore, our axis of symmetry is located at the line [tex]x=\frac{-(-10)}{2(1)}=\frac{10}{2}=5[/tex]. See the graph attached for a visual.

View image goddessboi
altavistard

Answer:

x = 5

Step-by-step explanation:

That's f(x) = x^2 - 10x + 16.  The coefficients of the x terms are {1, -10, 16}:  {a, b, c}.  

                                                                         -b

The formula for the axis of symmetry is x = --------

                                                                           2a

Here, with a = 1 and b = -10, the formula for this particular axis of symmetry is

       -(-10)

x = ------------ = 5

         2(1)

or x = 5

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