If n=4x−3, then what is the value of x when n=11?
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<h2>Answer:</h2>
To solve this problem, we need to start with the parent function of the exponential function, which is , where
is the base. In our problem,
, so our parent function here is
. Then, we need to perform some transformations to our parent function. Thus:
1. Vertical shrink:
A vertical shrink is a nonrigid transformation because the graph of the function get a distortion in the shape, so this transformation is as follows:
where in this problem equals 0.25 because:
2. Vertical shift:
The graph of the function get a vertical shift given by:
So the graph is shifted 3 units up. So the result is the graph shown above.