Question

Which function has only one x-intercept at (−6, 0)?

Answer 1

The only function that has only one zero at -6 is f(x) = (x + 6)(x + 6)

Explanation:

We have a function:

f(x)=(x+6)(x+6)

This function is also equal to f(x)=(x+6)^2

This is the square of the binomial. It has only one zero

f(x)=(x+6)^2 = 0

If we take square root we get:

√(x+6)^2 = 0

x+6 =0

x= -6

The only function that has only one zero at -6 is f(x) = (x + 6)(x + 6)....