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16 September, 07:56

Which set of steps will translate f (x) = 6x to g (x) = 6x - 5 - 7?

A.) Shift f (x) = 6x five units to the left and seven units up.

B.) Shift f (x) = 6x five units to the right and seven units down.

C.) Shift f (x) = 6x seven units to the right and five units up.

D.) Shift f (x) = 6x seven units to the left and five units down.

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Answers (1)
  1. 16 September, 08:01
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    I think you missed to write the parenthesis because none of the choices are matching with answer.

    Correct equation will be g (x) = 6 (x-5) - 7

    to get g (x), first f (x) = 6x will chane to 6 (x-5).

    Notice that here (x) changed to (x-5), when some number is subtracted from x then it shifts graph to the right.

    hence 6 (x-5) will cause right side movement by 5 unit.

    After that 6 (x-5) changes to 6 (x-5) - 7

    when some number is subtracted at the end then that causes down movement.

    so the graph will shift 7 unit down.

    So finally we can say that choice "B.) Shift f (x) = 6x five units to the right and seven units down." is correct.
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