draw the graph of the polynomial x^2-6x+9
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Step-by-step explanation:
Let y = f(x) or, y=x
2
−6x+9.
The following table gives the values of y or f (x) for various values of x.
x -2 -1 0 1 2 3 4 5 6 7 8
y=x
2
−6x+9 25 16 9 4 1 0 1 4 9 16 25
Thus, the graph of y=x
2
−6x+9 passes through the points (-2,25), (-1,16), (0,9), (1,4), (2,1),(3,0),(4,1),(5,4),(6,9),(7,16)and (8,25).Let us plot these points on the graph and draw a free hand smooth curve passing through these points. We observe that the vertex of the parabola is at point P (3,0)
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