The vertex (minimum) of the quadratic ax² +bx +c is located at x=-b/(2a). This means the minimum value of f(x) will be found at x = -3/(2*1) = -1.5.
Since the vertex of the quadratic is less than 0, the maximum value of the quadratic will be found at x=2, the end of the interval farthest from the vertex.
On the given interval, ...
the absolute minimum value of f is f(-1.5) = ln(1.75) ≈ 0.559616
the absolute maximum value of f is f(2) = ln(14) ≈ 2.639057
The reflection is written as:

And the graph can be seen below.
<h3>
How to get the graph of the reflection?</h3>
Here we have the function:

A reflection across the x-axis is given by:

Then, replacing the function f(x) by the actual equation:

The graph of the function g(x) can be seen below:
If you want to learn more about reflections:
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Answer:
120 miles
Step-by-step explanation:
if the train travels 10 miles every 1/4 hour then in an hour it travels 40 miles per hour. then you will multiply 40 by 3 because the train is traveling for three hours. your answer is 120.
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Answer: y = 12 - 3x
Step-by-step explanation:
Move "x" to the other side.
y = 12 - 3x