Which quadratic function is represented by the graph?
1 answer:
The equation of the quadratic function will be y = 5(x – 7)(x – 5). Then the correct option is B.
<h3>What is a quadratic equation?</h3>The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have
The quadratic function is represented by the graph.
Then the equation of the quadratic function will be
The graph is passing through (7, 0) and (5, 0). Then the equation of the function will be
y = a(x – 7)(x – 5)
Then the vertex of the graph is at (6, -5). Then we have
-5 = a(6 – 7)(6 – 5)
-5 = -a
a = 5
Then the equation will be
y = 5(x – 7)(x – 5)
Then the correct option is B.
More about the quadratic equation link is given below.
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Alright, lets get started.
Suppose number of books Jim have = x
Sam has twice as many books as Jim. So,
Number of books Sam have = 2x
If Sam gives 12 books to Jim, they will have the same number of books.
When Sam gives 12 books, his remaining books will be
When Jim gets 12 books from Sam, his books will be
And as per given question, they both now have equal books, so
Adding 12 in both sides
Subtracting x from both sides
It means Jim has number of books = 24
So, Sam has numberof books =
So, they have number of books together = : Answer
Hope it will help :)