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Consider the function f(x)=10^x
and function g.
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 right.
B. The graph of function g is the graph of function f shifted 4 units down.
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 to the left.

Consider The Function Fx10x And Function G Gx Fx4 How Will The Graph Of Function G Differ From The Graph Of Function F AThe Graph Of Function G Is The Graph Of class=

Sagot :

Ophystoidn

Answer:

D. The graph of function [tex]g[/tex] is the graph of function [tex]f[/tex] shifted 4 units to the left.

Step-by-step explanation:

the function [tex]g[/tex] is composite function between [tex]f[/tex] and [tex]x + 4[/tex], then you can re-write [tex]g[/tex] as:

[tex]g(x) = 10^{x+4}[/tex]

The transformation happened in the input, then you have an horizontal shifted and how it's adding 4 units then you go "faster" and move to left the graph.

In the image you can see what's mean sum a constant in the [tex]x[/tex] of a function.

View image Ophysto
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