Question

Draw the graph of the polynomial x2 - 6x + 9 find the zeroes and justify your answer.​

Answer 1

Answer:

Step-by-stepSOLUTION   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.