SOLUTION:
Case: Quadratic equations attributes
Given:
[tex]f(x)=x^2-6x+9[/tex]
Required:
To find the listed attributes of the quadratic equation function
Method:
First the table:
Final answer:
A) Domain:
The domain of the function is all real values of x:
[tex](-\infty\leq x\leq\infty)[/tex]
B) Range:
The range of the function is given by:
[tex]y\ge0[/tex]
C) Zero(s) of the function:
This is the value of x when f(x)=0.
This function has only one root:
x=3
D) y-intercept:
This is the value of y when x=0.
y-intercept = 9
E) Vertex:
The vertex of the graph is given by:
V(3,0)
F) Max or Min value of f(x)
The graph has a minimum value because it is a positive quadratic equation:
f(x)= 0
G) Equation of the axis of symmetry
x=3
