Which of the following is the vertex of the function f(x)=|x−4/7|?

Question

a. (0,-4/7)
b. (4/7, 0)
c. (-4/7,)
d. (0,4/7)

Answer 1

To find the vertex of the function \( f(x) = |x - \frac{4}{7}| \), we can analyze the expression inside the absolute value.

The vertex of the absolute value function \( |x - a| \) is located at the point \( (a, 0) \). In this case, \( a = \frac{4}{7} \).

Therefore, the vertex of the function \( f(x) = |x - \frac{4}{7}| \) is at the point \( \left(\frac{4}{7}, 0\right) \).

So the correct answer is: b. \((\frac{4}{7}, 0)\).