what is the y - intercept of the quadratic function f(x)=(x - 6)(x - 2)? (0, - 6) (0,12) (-8,0) (2,0)
what is the y - intercept of the quadratic function f(x)=(x - 6)(x - 2)? (0, - 6) (0,12) (-8,0) (2,0)
Answer
Explanation:
Step1: Recall the definition of y - intercept
The y - intercept of a function (y = f(x)) is the value of (y) when (x = 0).
Step2: Substitute (x = 0) into the function
Given (f(x)=(x - 6)(x - 2)), substitute (x = 0): [ \begin{align*} f(0)&=(0 - 6)(0 - 2)\ &=(-6)\times(-2)\ &=12 \end{align*} ]
Answer:
((0,12))