Describe how the graphs of y= (x-2)(x+2)÷3 and y=x^2-4 are related  Please explain in detail

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degeneratecircle | High School Teacher | (Level 2) Associate Educator

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If we expand `((x-2)(x+2))/3,` we get `(x^2-4)/3.` For every input `x,` the output is `(x^2-4)/3` , which is just one third the value of `x^2-4.` Thus, the `y` value of the graph of `y=(x^2-4)/3` is always only one third the `y` value of the graph of `y=x^2-4.` Here are the graphs, `y=(x^2-4)/3` in red and `y=x^2-4` in black.

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