Write an exponential equation in the form y=ab^x
which graph passes through (-3,24) (-2,12)

I think its 3(24)^x

Question

Write an exponential equation in the form y=ab^x
which graph passes through (-3,24) (-2,12)

I think its 3(24)^x

freckles · Answer

did you plug in the points into y=ab^x ?
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freckles · Answer

$$24=ab^{-3} \ 12=ab^{-2}$$

freckles · Answer

this is a system of equations we have to solve

freckles · Answer

Like you could solve on of them for a in then use that in the other equation to solve for b

anonymous · Answer

I didn't understand any of that.
I figured it out. thanks though.

freckles · Answer

$$25 =ab^{-3} \rightarrow 25b^{3}=ab^{-3}b^{3} \rightarrow 25b^3=ab^{0} \ \rightarrow  25b^3=a(1) \rightarrow  25b^3=a$$
see this first equation was solved for a

freckles · Answer

you are going to plug that into the other equation

freckles · Answer

and solve for b

anonymous · Answer

you i got it already. thanks!

freckles · Answer

oops 25 is suppose to be 24

freckles · Answer

ok