137k views
3 votes
I need help wit 7&8 they are one whole question

I need help wit 7&8 they are one whole question-example-1
User Mapad
by
7.5k points

1 Answer

3 votes

Notice that the graph of f(x) includes the point (10,1), after applying each listed transformation to (10,1), we get


\begin{gathered} (10,1)\rightarrow(10-2,1)=(8,1)\rightarrow\text{ 2 units to the left} \\ (10,1)\rightarrow(10-10,1)=(0,1)\rightarrow10\text{ units to the left} \\ (10,1)\rightarrow(10,-1)\rightarrow\text{ reflection over the x-axis} \\ (10,1)\rightarrow(-10,1)\rightarrow\text{ reflection over the y-axis} \\ \end{gathered}

Thus, g(x) is a reflection across the y-axis of f(x).

The answer to 7) is option D.

8)

In general, a reflection across the y-axis is given by the transformation below


(x,y)\rightarrow(-x,y)

Therefore, in our case,


g(x)=f(-x)=log(-x)

The answer is g(x)=log(-x), option C.

User Lauralee
by
8.1k points

Related questions

asked May 28, 2018 223k views
Max Favilli asked May 28, 2018
by Max Favilli
8.1k points
1 answer
1 vote
223k views
asked Nov 16, 2018 85.2k views
ManiTeja asked Nov 16, 2018
by ManiTeja
7.7k points
1 answer
4 votes
85.2k views