Which function is represented by the graph? f(x) = –|x| 4 f(x) = –|x| – 4 f(x) = –|x 4| f(x) = –|x – 4|.
1 answer:
The function which is represented by the graph attached below shifted 4 units right is similar to option d, which is,
The linear function has the highest power of the unknown variable one. Thus, the graph plotted for the linear function is a straight line.
Types of function movement over the graph -
- Horizontal shift- Let the parent function is
. Thus by replacing parent function with
shifts the graph b units right and by replacing parent function with
shifts the graph b units left.
- Vertical shift- Let the parent function is
shifts the graph b units down and by replacing parent function with
shifts the graph b units up.
The graph given in the problem is attached below. All the parents function of the options are absolute function.
In the graph, the parent function 4 units shifted to right. So the -4 should add in the parent function. Thus, by the above definition, this is a horizontal shift of the function and can be written as,
Hence, the function which is represented by the graph attached below shifted 4 units right is similar to option d, which is,
Learn more about the graph of linear function here;
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