Draw the graph ofx^2-6x+9 and finds factors
Answers
Answer:
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Answer:
Consider the provided polynomial.
f(x)=x^2-6x+9f(x)=x
2
−6x+9
The provided equation is a quadratic equation.
Now compare the provided equation with standard equation ax^2+bx+cax
2
+bx+c .
a=1, b=-6 and c=9
Since, the value of a 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)+9f(x)=0
2
−6(0)+9
f(x)=9f(x)=9
Substitute x=-1 in above equation
f(x)=(-1)^2-6(-1)+9f(x)=(−1)
2
−6(−1)+9
f(x)=1+6+9f(x)=1+6+9
f(x)=16f(x)=16
Substitute x=3 in above equation
f(x)=(3)^2-6(3)+9f(x)=(3)
2
−6(3)+9
f(x)=9-18+9f(x)=9−18+9
f(x)=0f(x)=0
Substitute x=6 in above equation
f(x)=(6)^2-6(6)+9f(x)=(6)
2
−6(6)+9
f(x)=36-36+9f(x)=36−36+9
f(x)=9f(x)=9
Now draw the graph using the table shown below:
x 0 -1 3 6
f(x) 9 16 0 9
The required graph is shown below:
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