Question

what is the y-intercept of the quadratic function f(x) = (x - 6)(x - 2)? (0, -6) (0, 12) (-8, 0) (2, 0)

Explanation:

Step1: Recall y-intercept definition

The y-intercept of a function is the point where \( x = 0 \), so we substitute \( x = 0 \) into the function \( f(x)=(x - 6)(x - 2) \).

Step2: Substitute \( x = 0 \)

Substitute \( x = 0 \) into \( f(x) \): \( f(0)=(0 - 6)(0 - 2) \).

Step3: Simplify the expression

Calculate \( (0 - 6)(0 - 2)=(-6)\times(-2)=12 \). So when \( x = 0 \), \( f(0)=12 \), which means the y-intercept is \( (0, 12) \).

Answer:

(0,12)