# algebra

posted by .

How do you do this:

Write an exponential function of the form y=ab^x that has a graph through (-2, 25) and (1, 10).

This is what I have so far:
10=ab^1
10/b=a
y=10/b*b^x
2/25=10b^-3
.008=b^-3

Then I am stuck. Am I doing it right so far? How do I continue? Thanks!

25 = (10/b)b^-2
2.5 = b^-3
0.4 = b^3
b=cuberoot(.4)=.7368...
then a=10/.7368... = 13.572..

so y = 13.572(.7368)^x

I checked both data values, they work

gotcha thanks

## Similar Questions

1. ### alg 2

Write an exponential function whose graph passes through the given points. 1. (0, 3) and (1, 15) 2. (0, -5) and (-3, -135) 3. (0, -0.3) and (5, -9.6)
2. ### Algebra

Explain how you would determine whether the graph of y = x^4 represents an exponential function. What is an exponential function?
3. ### math

i have more than one question so if u no any of the answers please tell me 1.) write the point-slope form of the equation of the line with slope -2 passing through the point ( -5, -9). 2.) write the point-slope form of an equation …
4. ### Algebra

I am given a graph of a parabola and I have to write a function in at least two forms that will produce the graph. I think that I can write the factored form first since I have the two x-intercepts but I don't know what the "a" is …

Find the exponential function of the form y=ax^b whose graph passes through the points (-3, 1/27) and (0,1). I don't know where to begin with this problem?
6. ### math

find the exponential function of the form y=ab^x whose graph passes through the points (4,6) and (7,10) i got a=3.04 and b= 1.185 so my equation is y=3.04(1.185)^4 is this correct?