# how do i create a absolute value function with y intercept at (0,-1) how do i create a absolute value function with Range [-4, infinity)

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Expert Answers

baxthum8 | Certified Educator

The general equation for an absolute value function can be represented by `y = a|x - h| + k` where "a" represents strectch/compression, (h, k) represents vertex of absolute value function.

**Therefore an absolute value equation with y-intercept (0, -1) could be represented by the equation: **`y = |x| - 1.`

An absolute value function with range of `[-4,oo).`

If I place the absolute value function with vertex of (-4, 0) and positive, using the same general equation,** this would yield:**

**`y = |x| - 4` .**