Question

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

Answer 1

x = 5

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

Answer 2

Axis of Symmetry:
`x=5`

Explanation:

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