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How does the graph of f(x) = -4^5x - 3 differ from the graph of g(x) = -4^5x?

A. The graph of f(x) is shifted three units to the right of the graph of g(x).

B. The graph of f(x) is shifted three units down from the graph of g(x).

C. The graph of f(x) is shifted three units up from the graph of g(x).

D. The graph of f(x) is shifted three units to the left of the graph of g(x).

How does the graph of fx 45x 3 differ from the graph of gx 45x A The graph of fx is shifted three units to the right of the graph of gx B The graph of fx is shi class=

Respuesta :

Using translation concepts, it is found that the correct option is given by:

B. The graph of f(x) is shifted three units down from the graph of g(x).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent function is:

[tex]g(x) = -4^{5x}[/tex]

The translated function is:

[tex]f(x) = -4^{5x} - 3[/tex]

3 was subtracted from the original function, which means that the translated function was shifted 3 units down, and option B is correct.

More can be learned about translation concepts at https://brainly.com/question/4521517

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