SOLUTION: Determine the quadratic function that has the given roots and passes through the given point. Express each function in standard form. (10 marks: 5 marks each) a) x = 2 ± √5, (2,
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-> SOLUTION: Determine the quadratic function that has the given roots and passes through the given point. Express each function in standard form. (10 marks: 5 marks each) a) x = 2 ± √5, (2,
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Question 1194305: Determine the quadratic function that has the given roots and passes through the given point. Express each function in standard form. (10 marks: 5 marks each) a) x = 2 ± √5, (2, 10) Found 3 solutions by ikleyn, Alan3354, greenestamps:Answer by ikleyn(52780) (Show Source):
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Determine the quadratic function that has the given roots and passes through the given point.
Express each function in standard form. (10 marks: 5 marks each) a) x = 2 ± √5, (2, 10)
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Having given these roots, you can write the quadratic function as the product of linear binomials
f(x) = ,
where factor " a " is a real number.
Simplify this expression
f(x) = = = = .
Now your task is to find the value of the coefficient "a".
For it, use the condition that f(2) = 10, given in the problem.
It gives you this equation
= 10,
a*(4 - 8 - 1) = 10,
-5a = 10
a = 10/(-5) = -2.
So, the quadratic function is f(x) = -2*(x^2-4x-1). ANSWER
