Question

Name Kuta Software - Infinite Algebra 2 Graphing Absolute Value Equations Graph each equation. 1) y = |x-1| De 52.02 2) yra -3 -2 1

Answer 1

Question:

Graph

Solution:

To solve this problem, we use the function transformations on the value absolute function (the original function) :

Consider the value absolute function f(x) = I x I :

Now, if we apply a horizontal shift of the original function f(x) = I x I, such that we want to shift the original function to the right 2 units, we get the function f(x) = I x-2 I, and its graph is:

Finally, if we reflect the above graph in the x-axis, we must multiply it for -1. Then, we get the function f(x) = -I x-2 I, and its graph is:

Then, the correct graph of the given function is: