# SOLUTION: Write an exponential function of the form y=ab^x whose graph passes through the given points. 17. (1,4),(2,12)

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 Question 72913This question is from textbook mcgougal littell algebra 2 : Write an exponential function of the form y=ab^x whose graph passes through the given points. 17. (1,4),(2,12)This question is from textbook mcgougal littell algebra 2 Found 2 solutions by jim_thompson5910, stanbon:Answer by jim_thompson5910(28715)   (Show Source): You can put this solution on YOUR website!Plug in both x and y into the general form Plug in (1,4) solve for b Plug in point (2,12) Now plug in b=4/a into b of Solve for a Plug this into with any point also Solve for b So the equation is Check: Plug in x=1, you should get y=4 works Plug in x=2, you should get y=12 works Answer by stanbon(57962)   (Show Source): You can put this solution on YOUR website!Write an exponential function of the form y=ab^x whose graph passes through the given points. (1,4),(2,12) ---------- The form is y = ab^x 12 = ab^2 4 = ab^1 ------------ Divide the 1st by the 2nd to get: 3 = b -------- Substitute that into the 2nd equation to solve for "a": 4 = a*3^1 a=(4/3) ------------- EQUATION: y = (4/3)*2^x ================== Cheers, Stan H.