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29 June, 15:29

Which transformations take f (x) = 3x+1 to g (x) = - 3x-5?

a reflection over the y-axis and a translation 4 units up

a reflection over the y-axis and a translation 4 units down

a reflection over the x-axis and a translation 4 units up

a reflection over the x-axis and a translation 4 units down

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  1. 29 June, 17:42
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    reflection over the x-axis and a translation 4 units down Refelcting f (x) over the x axis gives - f (x) = - 3x-1 Subtracting a constant from - f (x) moves the graph of - f (x) that many units down. - f (x) - 4=-3x-5=g (x) This shows that g (x) is obtained by reflecting f (x) over the x-axis and then translating 4 units down.
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