Question

Charla wants to determine the vertex of the function f(x) = x2 – 18x + 60 by changing the function into vertex form. Which statement about the vertex of the function is true

Answer 1

The answer is A-The x-coordinate of the vertex is greater than the y-coordinate.

Explanation:

Answer 2

vertex is (9,-21)

Explanation:

we are given function as

`f(x)=x^2-18x+60`

we can use vertex form of parabola

`f(x)=a(x-h)^2+k`

So, firstly we will complete x square

`f(x)=x^2-2* x* 9+60`

we can sue formula of square

`a^2+2ab+b^2 =(a+b)^2`

`f(x)=x^2-2* x* 9+60`

so, we will add and subtract 9^2

`f(x)=x^2-2* x* 9+9^2+60-9^2`

`f(x)=(x-9)^2+60-9^2`

`f(x)=(x-9)^2-21`

now, we can compare it with vertex form of formula

`f(x)=a(x-h)^2+k`

so, we get

`h=9,k=-21`

So, vertex is (9,-21)