Question

Please help me find a through c for number 2

Answer 1

Case: Quadratic equations attributes

Given:

`f(x)=x^2-6x+9`

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:

`(-\infty\leq x\leq\infty)`

B) Range:

The range of the function is given by:

`y\ge0`

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