Question

Draw the graph of x square minus 6x plus 9.​

Answer 1

Consider the provided polynomial.

F (x) = x^2 - 6x +9

The provide equation is a quadratic equation. Now compare the provided equation with standard equation Ax^2+ Bx+C

a=1 b= -6 C=9

Since, the value of is a positive (+) number that means the graph of the equation is an upward parabola.

Substitute X = 0 in above equation

F(x) = 0^2-6(0) +9

F(x) =9

Substitute X=-1 in above equation

F(x) =(-1) ^2-6(-1) +9

F(x) =1+6+9

F(x) =16

Substitute X =3 in the above equation

F(x) =(3) ^2-6(3) +9

F(X) =9-18+9

F(x) =0

Substitute X=6 in the above equation

F(x) =(6) ^2-6(6) +9

F(x) =36-36+9

F(x) =9

Now draw the graph using table shown below:-

X= 0 -1 3 6

F(x) = 9 16 0 9