### Home > PC3 > Chapter 5 > Lesson 5.1.2 > Problem5-19

5-19.

Consider $k(x)=3(2)^{x+2}$.

1. Describe the transformation from $y=2^x$ to $y=k(x)$.

It is vertically stretch by a factor of ____.
It is shifted ____ $2$ units.

2. What is the $y$-intercept of $y=k(x)$?

Solve $y=3(2)^{0+2}$.

3. Write the equation of an exponential function in the form $m(x)=A(2)^x$ with the same $y$‑intercept as part (b).

Solve: $y$-intercept $=A(2)^0$

4. Is $m(x)=k(x)$? Justify your answer algebraically.