Use the given function f(x)=|x| to graph g(x) =|x+2|-4
1 answer:
Answer:
see the attachment for a graph
Step-by-step explanation:
The vertex of f(x) is (0, 0). The transformation g(x) = f(x -h) +k moves the vertex to (h, k). That is, the graph is translated right by h units, and up by k units.
Your transformation has h = -2, and k = -4. That is, the original graph is translated left 2 units and down 4 units. The result is the blue curve in the attachment.
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6x/6=x>/= (=) 11/6
x=11/6 or about 1.8
the first important notation to remember when graphing inequalities is that the graph is going to face the way the inequality sign is pointing.
in this case, the sign is pointing right. now the second thing to remember is that an inequality sign with a line underneath it means that it is greater/equal to so the graph in which we fill will have be a closed circle
1) start the ray at ~1.8 and fill in the circle at the end of the ray then extend to its endpoint
that's all. you're graph now reads x is greater or equal to 11/6
