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Consider the function f(x)=10^x and function g(x)=f(x+4). How will the graph of function g differ from the graph of function f?

A. The graph of function g is the graph of function f shifted 4 units to the left.

B. The graph of function g is the graph of function f shifted 4 units to the right.

C. The graph of function g is the graph of function f shifted 4 units up.

D. The graph of function g is the graph of function f shifted 4 units down.

Respuesta :

VectorFundament120

Answer:

Shifts 4 units to left

Step-by-step explanation:

Given:

[tex]\displaystyle \large{f(x)=10^x}\\\\\displaystyle \large{g(x)=f(x+4)=10^{x+4}}[/tex]

Accorded to transformation rules:

  • f(x + a) is shift to left a units.
  • f(x - a) is shift to right a units.
  • f(x) + a is shift up a units.
  • f(x) - a is shift down a units.

Since function g is f(x + 4) then function g is the graph of function f(x) that shifts to left 4 units.

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