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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