Please help with algebra. Find the formula for an exponential equation that passes through the points, (0,2) and (1,6). The exponential equation should be of the form y=abx.

The exponential function has an equation of f(x) = 2(3)^xHow to determine the equation of the exponential function?From the question, we have the following points that can be used in our computation:(0, 2) and (1,6)Also, we understand thatFunction type = Exponential functionAn exponential function is represented asf(x) = ab^xAt point (0, 2), we have2 = ab^0Evaluatea = 2Substitute a = 2 in f(x) = ab^xf(x) = 2b^xAt point (1, 6), we have6 = 2b^1This gives2b = 6Divide b = 3So, we havef(x) = 2(3)^xHence, the equation of the exponential function is f(x) = 2(3)^xRead more about exponential function athttps://brainly.com/question/2456547#SPJ1