Question

The graph of the quadratic function f ( x ) = x 2 − 6x + 9
Question 7 Select one:

a.
Intersects the x-axis at two points x = 1 and x = 3.

b.
Intersects the x-axis at two points x = 0 and x = 3.

c.
Intersects the x-axis at two points x =3 and x = 5.

d.
Intersects the x-axis at one point, x = 3.

Answer 1

Answer: d. Intersects the x-axis at one point, x = 3.

Step-by-step explanation:

       We will look at the equation of the quadratic function f(x) to answer questions about the graph.

       It is given that f(x) = x² − 6x + 9. We will factor this equation to find our x-intercepts using the zero product property.

               f(x) = x² − 6x + 9

               f(x) = (x - 3)(x - 3)

       Using this x-intercept, x = 0, we know that the correct answer option is d. The graph will intersect the x-axis at one coordinate point, x = 3. We can also graph this parabola, see attached.