SOLUTION: Find and label the vertex (ordered pair) and the line of symmetry. f(x) = 1/5 x^2

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Find and label the vertex (ordered pair) and the line of symmetry. f(x) = 1/5 x^2      Log On


   

Question 321273: Find and label the vertex (ordered pair) and the line of symmetry.
f(x) = 1/5 x^2
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The equation of the axis of symmetry of f%28x%29+=+%281%2F5%29x%5E2 can be found by:
x+=+-b%2F2a and in your equation, a+=+%281%2F5%29 and b+=+0 so...
highlight%28x+=+0%29 This is the equation of the line of symmetry.
The vertex can be found by substituting x+=+0 into the given equation.
Replace f(x) with y.
y+=+%281%2F5%29x%5E2 Substitute x+=+0
y+=+0
The vertex is at (0, 0)
graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C%281%2F5%29x%5E2%29