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In Problems 49-54, determine the quadratic function whose graph is given.
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To calculate: The quadratic function using the given graphs.
Answer to Problem 49AYU
The equation of the given graph is .
Explanation of Solution
Given:
The given graph is
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Formula Used:
The general form of a quadratic equation is .
This general equation can also be written as , where
If , the graph opens upwards.
If , the graph opens downwards.
The vertex of the above function is .
The axis of symmetry will be .
We can find the by equating the equation at .
We can find the by equation the equation at .
1. If then the vertex is the .
2. If then the graph has no .
3. If then the vertex is the .
Calculation:
Here, we can see that the graph is open downwards. Therefore, we get .
The vertex of the given graph is at
Thus, we have
Therefore, the equation of the given graph is
Now, we have to determine the value of .
From the given graph, we can see that the
From the given graph, we can see that the is at .
Therefore, we have
Therefore, we get .
Thus, the equation of the given graph is
The equation is .
Chapter 3 Solutions
Precalculus
Additional Math Textbook Solutions
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