i was asked to answer this question and i was curious about something while solving it the question goes like this $f(x)=-\frac{1}{2}x^2 +2x +6$ and $g(x)=-1.2x^2+4.8x+6$ show that the graphs have the same symmetry line.
anyway my question is:
is it possible to determine that two graphs have the same symmetry line without finding the symmetry lines by caculating 2 points on the graph for both of them.
by the way thanks for helping me
Hint: Rearrange: $$f(x)=-\frac12(x-2)^2+8\\ g(x)=-1.2(x-2)^2+10.8$$