Question

Please help me

What are the coordinates of the vertex of the function f(x) = x2 − 12x + 5?

(6, 31)
(−6, 31)
(6, −31)
(−6, −31)

Answer 1

This means that the coordinates of the vertex of the function are
`(6,-31)`

Explanation:

To find the x-coordinate of the vertex of a quadratic function, we can use the formula:

`x=(-b)/(2a)`

We are given the function
`f(x)=x^2-12x+5`

In this function,
`a=1` and
`b=-12`

Now we can input these values into our formula

`x=(-(-12))/(2(1)) \\\\x=(12)/(2) \\\\x=6`

This means that the x-value of the vertex is located at
`x=6`. To find the other half of the coordinate pair, we can now plug
`x=6` into the given function

`f(6)=(6)^2-12(6)+5\\\\f(6)=36-72+5\\\\f(6)=41-72\\\\f(6)=-31`

This means that the coordinates of the vertex of the function are
`(6,-31)`