Question

What is the y-intercept of the quadratic function
f(x) = (x – 6)(x – 2)?

Answer 1

Hello,

f(0)=(0-6)(0-2)=12
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Answer 2

The y-intercept of the quadratic function f(x) = (x – 6)(x – 2) is 12 .

Explanation:

The given function is f(x) = (x – 6)(x – 2)

we need to find the y-intercept of the quadratic function

First, simplify the function f(x) = (x – 6)(x – 2)

f(x) = x² - 2x -6x + 12

f(x) = x² - 8x + 12

To find the y-intercept, we put x=0 in function f(x) = x² - 8x + 12

y = f(0) = 0² - 8(0) + 12

y = f(0) = 0² - 0 + 12

y = f(0) = 12

Therefore, the y-intercept of the quadratic function f(x) = (x – 6)(x – 2) is 12 .