I supose your function is: \(y(x)=a \cdot b^x\)
Step 1. Replace the coordinates of the first point in your equation:
x=-2, y=3
\(3=a \cdot b^{-2}\)
Solve the equation for "a":
\(a=3 \cdot b^2\)
Step 2. Replace the coordinates of the second point in your equation:
x=6, y=35
\(35 = a \cdot b^6\)
Replace the value of "a" from Step 1.
\(35 = 3 \cdot b^2 \cdot b^6\)
Calculate "b":
\(b= \sqrt[8]{\frac{35}{3}} = 1.359466\)
Step 3. Replace "b" in first equation and calculate "a":
\(a=3 \cdot b^2=5.5444434\)
The equation is:
\(y(x)=5.54 \cdot 1.36^x\)
