SOLUTION: Use the graph of 𝑦 = 𝑒^x to help sketch the graph of 𝑓(𝑥) = 2𝑒^-3x

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Use the graph of 𝑦 = 𝑒^x to help sketch the graph of 𝑓(𝑥) = 2𝑒^-3x      Log On


   

Question 1162017: Use the graph of 𝑦 = 𝑒^x to help sketch the graph of 𝑓(𝑥) = 2𝑒^-3x
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

Use the graph of y+=+e%5Ex+to help sketch the graph of f%28x%29+=+2e%5E%28-3x%29
GRAPH THE TRANSLATION:
f%28x%29=a%2Ab%5E%28x%2Bc%29%2Bd
constant a+shows a stretch or compression
a=2->shows a stretch
f%28x%29=b%5E%28-x%29+reflects the parent function f%28x%29=b%5Ex+about the y-axis.
you have -3x ->reflects the parent function about the y-axis
c=0
d=0
=> there is no shift
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+e%5Ex+%2C+2e%5E%28-3x%29%29+