SOLUTION: Good morning everyone, please help Find the vertex and line of symmentry: f(x)=1/2(x+2)^2+1 Thank you Gina

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Good morning everyone, please help Find the vertex and line of symmentry: f(x)=1/2(x+2)^2+1 Thank you Gina      Log On


   

Question 461975: Good morning everyone,
please help
Find the vertex and line of symmentry:
f(x)=1/2(x+2)^2+1
Thank you
Gina
Answer by katealdridge(100) About Me  (Show Source):
You can put this solution on YOUR website!
Hi Gina.
This is a quadratic equation given in vertex form. That makes finding the vertex very easy.
Vertex form of a quadratic equation is:
y=a%28x-h%29%5E2%2Bk where the vertex is (h,k)
f%28x%29=%281%2F2%29%2A%28x%2B1%29%5E2%2B1 The vertex is (-1,1)
The line of symmetry is the vertical line that goes through the vertex. Since you already found the vertex, this is very easy. x=-1