Find the equation of the exponential function, in y=a(b)^x form that passes through the points (-2,3) and (6,35). round both a and b to the nearest hundredth. must be an algebraic method.

I supose your function is:

Step 1. Replace the coordinates of the first point in your equation:
x=-2, y=3



Solve the equation for "a":


Step 2. Replace the coordinates of the second point in your equation:
x=6, y=35



Replace the value of "a" from Step 1.

Calculate "b":


Step 3. Replace "b" in first equation and calculate "a":


The equation is: