So to answer your question I will first define what the axis of symmetry is:
The axis of symmetry of a parabola is a vertical line that divides the parabola into 2 halves like my graph shown below. The graph of a quadratic function is known as a parabola.
Thus it is as simple as graphing the equation [tex]y=2(x-2)^2+5[/tex] and finding the lowest point (aka: the vertex).
The answer to this question is [tex]x=2[/tex]
If you have anymore questions don't be afraid to ask, I'm here to help. Thanks!
