SOLUTION: Find and label the vertex and the line of symmetry. Graph the function. {{{f(x)=3x^2}}} The vertex is ___. (Type an ordered pair.) The equation of the line of symmetry is x=___

Algebra ->  Graphs -> SOLUTION: Find and label the vertex and the line of symmetry. Graph the function. {{{f(x)=3x^2}}} The vertex is ___. (Type an ordered pair.) The equation of the line of symmetry is x=___      Log On


   



Question 395275: Find and label the vertex and the line of symmetry. Graph the function.
f%28x%29=3x%5E2
The vertex is ___.
(Type an ordered pair.)
The equation of the line of symmetry is x=___.
Graph.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The x-coordinate of the vertex of f%28x%29+=+3x%5E2 is:
x+=+-b%2F2a
In this function: f%28x%29+=+3x%5E2, a = 1 and b = 0, so the x-coordinate is...
x+=+-0%2F2%281%29
x+=+0 and, when x = 0, then f(0) = 0, so he ordered pair of the vertex is:
(0, 0) and the equation of the line of symmetry is:
x+=+0 which is just the y-axis.
graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C3x%5E2%29