Answer
This is the graph of $ h(x)=\log(2-x)$
Work Step by Step
We first find the graph of $ f(x)=\log x $ among the graphs 32 - 35.
$ f(x)=\log x $ has a graph that is
- defined for positive x only (only graph 35)
- rises from left to right (only graph 35)
- passes through (1,0) (graphs 34 and 35)
- passes through (10,1) (only graph 35 can do this)
Conclusion: graph 35 is the graph of $ f(x)=\log x $.
Graph 34 (this graph) is obtained from the graph of $ f(x)=\log x $ by reflecting it about the y-axis ... $ f(-x)$
and shifting it to the right by 2 units: $ f(-(x-2))=f(-x+2)$
This is the graph of $ f(2-x)=\log(2-x)=h(x)$
