Wednesday

July 23, 2014

July 23, 2014

Posted by **Jim** on Tuesday, December 1, 2009 at 12:47am.

- Math -
**Reiny**, Tuesday, December 1, 2009 at 8:54amI don't know at what level you are working at, but any exponential of the form y = p^x can be written as

y = a(e^kx) where a and k are constants.

So let your y=2^(x+1) + 3 be

y = a(e^kx) + 3

let's use 2 points from your first equation, say (0,5) and (1,7)

in the new one:

for (0,5) ,

5 = a(e^0) + 3

a = 2

for (1,7)

7 = 2(e^k) + 3

2 = e^k

k = ln2

so a second equation would be

y = 2(e^[(ln2)x)] + 3

check it by using (2,11) from the first equation and trying it in our new one.

LS = 11

RS = 2(e^2ln2) + 3

= 2(e^1.386294361) + 3

= 2(4) + 3

= 11

= RS

- Math -
**Jim**, Tuesday, December 1, 2009 at 1:23pmThank you so much for your detailed reply. My problem is that we haven't done logs or "e" yet. Is there any other way arrive at an answer without knowing these? I really appreciate your help.

**Related Questions**

Math - I need to write 2 equations that represent the same exponential function ...

math - 1.Transform the graph of f(x) = 3^x to sketch g(x) = 3^-(x+1) -2. Show ...

math - 1.Transform the graph of f(x) = 3^x to sketch g(x) = 3^-(x+1) -2. Show ...

Grade 11 math - 1.Transform the graph of f(x) = 3^x to sketch g(x) = 3^-(x+1) -2...

Math - An exponential function with a base of 3 has been vertically stretched by...

Math - For the function y= (ax+b)/(cx+d) write the intervals where the function...

math - how do you create a function that has a graph with the given features: a...

math - how do you create a function that has a graph with the given features: a...

Math - Analyze the function algebraically. List its vertical asymptotes, holes, ...

Algebra - functions - Given the function: f(x) = 5/(x-1)^2 Find the Horizontal ...