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2 November, 23:49

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

is a the slope?

what's the y-intercept?

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Answers (1)
  1. 3 November, 00:39
    0
    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)
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