The vertex of the equation g(x) = I x ₊ 6 I is (₋6 , 0).
Given the equation is g(x) = I x ₊ 6 I
The equation of the absolute value function is:
y = I x ₋ h I ₊ k where (h , k) is the vertex.
When the input is 0, the vertical axis will be intersected by the graph of an absolute value function. The horizontal axis is not usually where they cross. Depending on how the graph has been moved and reflected, it may or may not cross the horizontal axis.
compare the given equation to the above form.
y = I x ₊ 6 I ₊ 0
y = I x ₋ (₋6) I ₊ 0
hence we (h,k) as (₋6 , 0)
Therefore the coordinates of the vertex are (₋6 , 0)
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