Respuesta :

The y-intercept is the point where the graph of the function intersects the y-axis.
At the y-axis, the x-coordinate is 0.

Find f(x) for x = 0.

f(x) = (x - 6)(x - 2) 

f(0) = (0 - 6)(0 - 2)

f(0) = (-6)(-2)

f(0) = 12

Answer: The y-intercept is point (0, 12)

Using it's concept, it is found that the y-intercept of the quadratic function is given by (0, 12).

y-intercept:

  • The y-intercept of a function f(x) is the value of f(x) when x = 0, that is, it is given by the point (0, f(0)).

In this problem, the function is:

[tex]f(x) = (x - 6)(x - 2)[/tex]

When x = 0, we have that:

[tex]f(0) = (0 - 6)(0 - 2) = 12[/tex]

Hence, the y-intercept of the function is (0,12).

To learn more about the y-intercept of a function, you can take a look at https://brainly.com/question/25225769