497,584 views
8 votes
8 votes
Write each function in vertex form, and identify its vertex. F(x)=x^2–6x+17

User Akin Ozer
by
3.1k points

1 Answer

19 votes
19 votes

We have to find the vertex and write the equation in vertex form.

The equation is:


f(x)=x^2-6x+17

We start by calculating the coordinates of the vertex (h,k):


h=-(b)/(2a)=(-(-6))/(2\cdot1)=(6)/(2)=3
k=f(h)=3^2-6\cdot3+17=9-18+17=8

The vertex form is:


\begin{gathered} f(x)=a(x-h)^2+k \\ f(x)=(x-3)^2+8 \end{gathered}

Answer:

Vertex: (3,8)

Vertex form: f(x)=(x-3)^2+8

User Yakubu
by
2.9k points