Identify a transformation of the function f(x) = x2 by observing the equation of the function g(x) = (x + 80)2Answer

In order to transform[tex]f(x)=x^2\mapsto g(x)=(x+80)^2[/tex]You have to apply the transformation[tex]g(x)=f(x+80)[/tex]These kind of transformation, i.e.[tex]f(x)\mapsto f(x+k)[/tex]result in a horizontal translation, k units to the left if k is positive, k units to the right if k is negative.In this case, k=80, so the graph of[tex]g(x)=(x+80)^2[/tex]Will be the same of[tex]f(x)=x^2[/tex]except for a translation of 80 units to the left.