For a number \(a>1\), let \(f(x)=a^x\) and \(g(x)=a^{2x+2}\), both for all real \(x\). Which sequence of transformations, applied to the graph of \(f\), does not give the graph of \(g\)?
ADilate by factor \(\tfrac12\) from the \(y\)-axis, then translate \(1\) unit left.
BDilate by factor \(\tfrac12\) from the \(y\)-axis, then dilate by factor \(a^2\) from the \(x\)-axis.
CDilate by factor \(a\) from the \(x\)-axis, then by factor \(\tfrac12\) from the \(y\)-axis, then translate \(1\) unit right.
DDilate by factor \(a^3\) from the \(x\)-axis, then translate \(1\) unit right, then dilate by factor \(\tfrac12\) from the \(y\)-axis.