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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15-04-2015
Mathematics

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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.

Sagot :

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konrad509 konrad509 · Answer 1 · 2015-04-15T16:48:51-04:00

konrad509 konrad509

15-04-2015

[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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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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