Answer:
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.
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)