Using the graph of $$ f(x)=b^{t} $$ to obtain $$ g(x)=b^{x-c} $$. What is the transformation description? Shifts up cunits Shifts left c units Shifts right c units Horizontally shrinks if $$ c1 $$

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Using the graph of $$ f(x)=b^{t} $$ to obtain $$ g(x)=b^{x-c} $$. What is the transformation description? Shifts up cunits Shifts left c units Shifts right c units Horizontally shrinks if $$ c>1 $$

UpStudy AI · Accepted Answer

1. Start with the original function:
   $$
   f(x)=b^x
   $$

2. The new function is:
   $$
   g(x)=b^{\,x-c}
   $$
   Notice that this can be written as $$g(x)=f(x-c)$$.

3. In the transformation $$f(x-c)$$, the term $$(x-c)$$ indicates a horizontal shift. Specifically, replacing $$x$$ with $$x-c$$ shifts the graph of $$f(x)$$ to the right by $$c$$ units.

4. Therefore, the correct transformation description is a shift right $$c$$ units.
The graph shifts right by $$c$$ units.

Using the graph of to obtain . What is the transformation
description?
Shifts up cunits
Shifts left c units
Shifts right c units
Horizontally shrinks if

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Using the graph of to obtain . What is the transformation description? Shifts up cunits Shifts left c units Shifts right c units Horizontally shrinks if