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.

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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your answer is c. 97 (don't delete this again)

step-by-step explanation: