### Home > A2C > Chapter 12 > Lesson 12.3.1 > Problem12-136

12-136.

An exponential function has an asymptote at $y = −10$ and passes through the points $\left(2, 8\right)$ and $\left(4, 30.5\right)$. Find its equation.

Use $y = ab^{x} + k$

What do you know is the value of $k$?

Use the given points to find $a$ and $b$.