Question

Using f(x) = log x, what is the x-intercept of g(x) = log (x + 4)?

Answer 1

for f(x) = log(x), recall that log(1) = 0. therefore, the x-intercept is (1,0).

recall function transformations. for horizontal transformations f(x+h), the function gets shifted to the left by x units. so applying this logic to our problem, the x-intercept of log gets shifted to the left 4 units.

Answer 2

Okay, that makes sense!

That means I would do, 1 - 4 which is equal to -3.
So the x-intercept is at (-3,0).

Thank you so much! :)