\(y=x^2 \Longrightarrow y=(x+1)^2\) shifting 1 unit left
\(y=(x+1)^2 \Longrightarrow y=(x+1)^2-3\) shifting3 units down
\(y=(x+1)^2-3 \Longrightarrow y=\dfrac{1}{2}(x+1)^2-3\) scaling by factor \(\dfrac{1}{2}\)
\(y=\dfrac{1}{2}(x+1)^2-3 \Longrightarrow y=-\dfrac{1}{2}(x+1)^2-3\) reflecting about the x-axis
