When "a" is the base, let's examine the graphs of [math]a^{^{x+b}}[/math] and [math]log_a\left(x+b\right)[/math] [br][b][br]1)   [/b]State your opinion about the change by moving the slider.[br][b]2) [/b]Observe and share the changes in the graphics by moving the slider [i]b[/i].[br][b]3)[/b] What could be the equation of the symmetry line for[br]these two graphs? After expressing your opinion, please tick the symmetry line[br]box. [br][b]4) [/b]While the symmetry line is shown, move the sliders and[br]share your observation about the movements of the line and graphics.

[b]TASK: [/b]Draw the graph of the function [math]f\left(x\right)=10^{^{x+4}}[/math] and its inverse function and try to find the equation of the symmetry line. [br][br][br]