Question

For the function y= |x-4| -3 what is the vertex?

Answer 1

Consder that for a function with an absolute value, the vertex is obtained for the values of x which makes the absolute term equal to zero.

In this case, for y = lx - 4l - 3, the value x = 4 makes the absolute term equal to zero.

Then, if you replace x = 4, you get:

y = l4 - 4l - 3 = 0 - 3 = -3

Hence, the point of the vertex is (4,-3), as you can see in the following image: