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