Brittany was tracking the increasing temperature in the morning. At 8 a.m., it was 68 degrees Fahrenheit. At 10 a.m., it was 74
degrees Fahrenheit. If Brittany made the function f(x) = 3x + 36, what would the 36 represent?
A. The temperature at midnight
B. The rate the temperature was increasing
C. The length of time she recorded for
D.The total change in degrees
A. The temperature at midnight
B. The rate the temperature was increasing
C. The length of time she recorded for
D.The total change in degrees
1 answer:
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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.