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Which of the following is the equation of the quadratic function below?


Which Of The Following Is The Equation Of The Quadratic Function Below class=

Sagot :

The equation of the given quadratic function is y = x² -9x+18. The correct option is B. y = x² -9x+18

Quadratic equation

From the question, we are to determine which equation represent the quadratic function

From the given graph,

The roots (zeros) of the function are

x = 3 and x = 6

Now, we will determine the equation of the function from its roots

x = 3 and x = 6

Then, we can write that

x -3 = 0 OR x - 6 = 0

Thus,

(x -3)(x -6) =0

Expanding

x² -6x -3x +18 =

x² -9x+18 = 0

∴ y = x² -9x+18

Hence, the equation of the given quadratic function is y = x² -9x+18. The correct option is B. y = x² -9x+18

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