Which of the following equations has a graph in the xy-plane for which y is always greater than or equal to −1 ?

Options

A. `y=|x|-2`
B. `y=x^(2)-2`
C. `y=(x-2)^(2)`
D. `y=x^(3)-2`

Explanation

To determine which equation has a graph in the xy-plane for which y is always greater than or equal to -1, we will analyze each option provided in the question.

Let's denote the options as follows:
1. Option A: \( y = |x| - 2 \)
2. Option B: \( y = x^2 - 2 \)
3. Option C: \( y = (x - 2)^2 \)
4. Option D: \( y = x^2 + 1 \)

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