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azamat
2 years ago
5

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?

Mathematics
1 answer:
Jobisdone [24]2 years ago
4 0

Answer:

Shifts 4 units to left

Step-by-step explanation:

Given:

\displaystyle \large{f(x)=10^x}\\\\\displaystyle \large{g(x)=f(x+4)=10^{x+4}}

Accorded to transformation rules:

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