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


Asked by maham237 @ in Mathematics viewed by 488 People


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

Answered by maham237 @



Answer:

Shift f(x)=6^x 5 units to the right and 7 units down.

Option B is correct.

Step-by-step explanation:

Given: f(x)=6^x translate to g(x)=6^{x-5}-7

Using translation property

If x\rightarrow x+a then function shift horizontally.

If a>0 then shift left

If a<0 then shift right

If f(x)\rightarrow f(x)+a then function shift vertically.

If a>0 then shift up

If a<0 then shift down

 f(x)=6^x

 g(x)=6^{x-5}

f(x) shift 5 unit right.

 g(x)=6^{x-5}-7

f(x) shift 7 unit down.

Hence, {tex]f(x)=6^{x}[/tex] translate to g(x)=6^{x-5}-7

Shift f(x)=6^x 5 units to the right and 7 units down.


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