Drawthe graph of the p of X is equals to x square - 6 X + 9 polynomial and find the zeros and justify the answer
Answers
SOLUTION 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) as shown in Figure.
Answer:
SOLUTION Let y = f(x) or, y=x2−6x+9.
The following table gives the values of y or f (x) for various values of x.
x -2 -101 2 34 56 78y=x2−6x+9 25 16 9 4 10 14 916 25Thus, the graph of y=x2−6x+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)