What is the vertex and axis of symmetry?

Check the picture below.
now, the Range and Domain are both assuming the lines goes no further, keeping in mind that most lines go to infinity.
the x-intercepts are just where the graph intersects or touches the x-axis.
the y-intercepts are just where the graph intersects or touches the y-axis.
vertex is simply where it makes the U-turn, and axis of symmetry is simply most of the time the x-coordinate of the vertex, of namely the line where the graph begins making a mirror image.