Answer
Please see the graph.
Work Step by Step
$f(x) = 5x^2$
Axis of symmetry:
$f(x) = 5x^2$
$f(x) = 5(x-0)^2$
$x=0$
Vertex:
$f(x) = 5x^2$
$f(0) = 5*0^2$
$f(0)= 5*0$
$f(0)=0$
The red line is the function $f(x) = 5x^2$, the dot at $(0,0)$ is the vertex, and the orange line at $x=0$ is the axis of symmetry.
