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Given f(x)=square root of x, graph y=2-f(1-x). Show each intermediate graph (so

ID: 3215454 • Letter: G

Question

Given f(x)=square root of x, graph y=2-f(1-x). Show each intermediate graph (so a new graph for each additional transformation). Label each intermediate graph and the final graph with the appropriate equation y=.... I understand the rules of horizontal, reflection, stretch and vertical translations however not seeing a graph and just given this information in the practice problem is very confusing. I understand to show this problem you will have to do on paper and I thank you for effort. Plz show steps so I can fully understand this concept.

Explanation / Answer

To sketch y = | f(x) |, reflect the part of the graph of y = f(x) below the x-axis about the x-axis. To sketch y = f( | x | ), ignore the part of the graph of y = f(x) on the left of the y-axis, and reflect the part on the right of the y-axis about the y-axis. To sketch y = vf(x), note: vf(x) is defined only if f(x) >= 0 v0 = 0 and v1 = 1 vf(x) 1 vf(x) > f(x) if 0
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