SOLUTION: a. Describe the transformation that have been applied to the graph of F(x)=2^x to obtain the graph f(x)2^(x+1)-3 b. what is the Domain & Ranger of f(x)=2^(x+1)-3? c. what i

Algebra.Com
Question 1129812: a. Describe the transformation that have been applied to the graph of F(x)=2^x to obtain the graph f(x)2^(x+1)-3

b. what is the Domain & Ranger of f(x)=2^(x+1)-3?
c. what is the equation of the asymptote for the graph of f(x)=2^(x+1)-3?

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
a.
to describe the transformation that have been applied to given exponential function, recall:
where is the vertical transformation, is the horizontal shift, and is the vertical shift

if given the graph of and obtain the graph
based on this equation, you see that
and it means has been shifted unit to the
and, means has been shifted units


b.
what is the Domain & Ranger of ?
Domain: (all real numbers)
Range: { element : }


c. what is the equation of the asymptote for the graph of ?


Horizontal asymptote:






RELATED QUESTIONS

a. Describe the transformation that have been applied to the graph of F(x)=2^x to obtain... (answered by MathLover1)
For each point (a,b) that is on the graph of y = f(x), the point (2a +1, 3b) is plotted,... (answered by mccravyedwin,ikleyn,Edwin McCravy)
Describe the transformation required to obtain the graph of the function... (answered by MathLover1,ikleyn)
Describe the transformations applied to the graph of y=x^2 to obtain the function f(x) =... (answered by Boreal)
A) Let g(x) = x^2+bx+11. The point lies on (-1,8) on the graph of g. Find the value of b. (answered by ikleyn)
The graph of f(x) is shown below.... (answered by Edwin McCravy)
Describe the transformation from the graph of f(x) = x + 3 to the graph of g(x) = x... (answered by ewatrrr)
Write g in terms of f. Then describe the transformation from the graph of f to the graph... (answered by jim_thompson5910,stanbon)
Describe the transformation of y=f(x) that will occur in order to obtain the graphe of... (answered by rapaljer)