Horizontal Translation
Exploration:
Given that[math]f\left(x\right)=x^2[/math] , investigate the following graphs in the applet below. [br](i) [math]g\left(x\right)=f\left(x+2\right)[/math][br](ii)[math]g\left(x\right)=f\left(x-2\right)[/math]
Take note that since [math]g\left(x\right)=f\left(x-b\right)[/math] in the applet [br]then when [math]b=2[/math][br][math]g\left(x\right)=f\left(x-2\right)=\left(x-2\right)^2[/math][br][br]
Checking for Understanding:
Can you write down the value of [math]b[/math] for [math]f\left(x+2\right)[/math]?