A graph that represents the absolute function y = |x - 1| - 2 is shown on the coordinate plane attached below.
The x- and y-intercepts are:
x-intercepts = (0, 0) and (2, 0).
y-intercept = (0, 0).
In Mathematics, the vertex form of the equation for an absolute value function can be modeled by the following:
y = a|x - h| +k.
Where:
- h and k are the vertex of the graph.
- a is a numerical constant.
By critically observing the graph of the absolute value function, we can logically deduce that the parent absolute value function f(x) = |x| was horizontally shifted to the right by 1 unit and vertically shifted by 2 units down as follows;
y = a|x - h| +k.
g(x) = |x - 1| - 2
Complete Question;
Graph the equation. y = |x - 1| - 2 and identify the intercepts