SOLUTION: Find and label the vertex and the line of symmetry. Graph the function f(x)=2(x-2)^2 ^means it is raising the that power

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Find and label the vertex and the line of symmetry. Graph the function f(x)=2(x-2)^2 ^means it is raising the that power      Log On


   

Question 470789: Find and label the vertex and the line of symmetry. Graph the function
f(x)=2(x-2)^2
^means it is raising the that power
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=2%28x-2%29%5E2 is in the form f%28x%29=a%28x-h%29%5E2%2Bk where (h,k) is the vertex and x=h is the line of symmetry.


So because h=2 and k=0, the vertex is (2,0) and the line of symmetry is x=2.


Here's a graph to confirm this:


+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+2%28x-2%29%5E2%29+