The standard form of an absolute value function is f(x) = a|x - h| + k, which of the following represents the vertex?
(-k, h), (-h, k), (k, h), (h, k)

Solution:

For example

We have to graph f(x) = |x - 1| + 5

By comparing it with general form f(x) = a |x - h| + k

As a is 1, the graph opens upwards with slope 1

As h is 1, k is 5, so the vertex is shifted 1 to the right and 5 from the origin.

Therefore, the standard form of an absolute value function is f(x) = a|x - h| + k is (h, k).

The standard form of an absolute value function is f(x) = a|x - h| + k, which of the following represents the vertex?

Summary:

(h, k) represents the vertex for the standard form of an absolute value function is f(x) = a|x - h| + k.