If you are given an exponential graph and told to write and equation for it, how would you do that
ex. is #7 and #8 on this link http://cdn.kutasoftware.com/Worksheets/Alg2/Graphing%20Exponential%20Functions.pdf

Question

empty · Answer

since its exponential you know it has this form $$y=a^x+b$$ so a trick you can use if you understand that anything to the zero power =1 $$a^0=1$$ then at the center of your graph you can find out what b is.

then plug it x=1 and you can find a similarly

lexi724 · Answer

okay so # 7 is $$y=4^x+1$$ how would we find that

empty · Answer

so we start with $$y=a^x+b$$ plug in the point on your graph (0,2)

lexi724 · Answer

so $$y=0^2+2$$ would this be correct @iGreen @Empty @rational @Jamierox4ev3r

lexi724 · Answer

okay so I guess no ones helping with this one.

rational · Answer

hey it seems you have answers below those graphs ?

lexi724 · Answer

im not looking for answers tough i wanna know how to do it  @rational

rational · Answer

$$y = a^x+b$$

 plug in the point on your graph (x,y) = (0,2)

lexi724 · Answer

i did that above

lexi724 · Answer

i was askign if i was right what to do from there

rational · Answer

that didnt look all that correct, try again

rational · Answer

you need to plugin x = 0 and y = 2

rational · Answer

the idea is to solve a,b values using the points on graph

lexi724 · Answer

$$2=0^2+b$$

rational · Answer

why are you replacing a by 0 ?

rational · Answer

$$y = a^x + b$$

plugging in $(x,y) = (0, 2)$ you get
$$2 = a^0 + b$$

right ?