What transformations have been done to the graph of y=x^2 to obtain the graph of y=(-1/2)(x+1)^2-3. Please include direction as well as numerical values.

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What transformations have been done to the graph of y=x^2 to obtain the graph of y=(-1/2)(x+1)^2-3. Please include direction as well as numerical values.

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Konrad509id Konrad509id · Answer 1

Konrad509id Konrad509id

[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

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