SOLUTION: Starting with the graph of {{{ y=3^x }}}, reflect the graph about the line x=-2. Please help me; I missed class on Friday. Thanks.

Algebra.Com
Question 596183: Starting with the graph of , reflect the graph about the line x=-2.
Please help me; I missed class on Friday. Thanks.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Step 1) Shift the original graph 2 units to the right. This lines up our desired line of symmetry on the y axis. So we go from (green) to (blue)



---------------------------------------------------------------------
Step 2) Reflect about the y axis (or x = 0) by replacing 'x' with '-x' to get


--------------------------------------------------------------------

Step 3) Translate back by shifting 2 units to the left. This is done by subtracting off 2 to get the final answer of


======================================================================
Answer:

So the graph of (shown in green) and the reflected graph over the line x = -2, which is (shown in blue) are graphed below


RELATED QUESTIONS

Can you help me in solving this problem: Starting with the graph of y=2x, write the... (answered by josmiceli)
Explain how the graph of g is obtained from the graph of f. (1) f(x) = √x,... (answered by stanbon)
hey, can u help me with this, i got somehow missed on how to do it in class, Draw... (answered by subudear)
Please help me Find the function g(x) that is finally graphed after the following... (answered by stanbon)
How do I graph the function f(x)=2-log(base 3)x? Does it reflect about the y or x axis?... (answered by josgarithmetic)
Find the function that is finally graphed the following transformations are applied to... (answered by Theo)
Starting with the graph of f(x)= 7^x Write the equation of the graph that results from... (answered by jim_thompson5910)
I tried to listen in class, but the teacher was talking way over my head, and I lost her. (answered by Alan3354,solver91311)
Starting with the graph of y = e^x, find the equation of the graph that results from... (answered by jim_thompson5910)