In f (x) = a|x - h| + k

is a the slope?

what's the y-intercept?

The slope of the function is 'a' for x ≥ h and ' - a' for x < h.

The y-intercept is ( - ah + k) for x ≥ h and (ah + k) for x < h.

Step-by-step explanation:

Given function is f (x) = a|x - h| + k.

This is an absolute value function, so we can define the function as

f (x) = a (x - h) + k = ax - ah + k for x - h ≥ 0 i. e. x ≥ h and

f (x) = a (h - x) + k = - ax + ah + k for x - h < 0 i. e. x < h.

Now, both the equations are in slope-intercept form and the slope of the function is a for x ≥ h and - a for x < h.

Again, the y-intercept is ( - ah + k) for x ≥ h and (ah + k) for x < h. (Answer)