College Algebra

1.

Below is the graph of $f(x)\text{.}$

Answer.

2.

Below is the graph of $f(x)\text{.}$

Answer.

3.

Below is the graph of $f(x)\text{.}$

Answer.

4.

Suppose the solid blue graph below is the graph of $f(x)$ and the red graph is the graph of $g(x)\text{:}$

Write a formula for $g(x)$ in terms of $f(x)\text{.}$

5.

Suppose the solid blue graph below is the graph of $f(x)$ and the red graph is the graph of $g(x)\text{:}$

Write a formula for $g(x)$ in terms of $f(x)\text{.}$

6.

Suppose $f(x)=x^3-2x+1$ and $g(x)$ is the same as $f(x)$ but shifted down by $3\text{.}$ Write a formula for $g(x)\text{.}$

7.

Suppose $f(x)=3x^2$ and $g(x)=3x^2-4\text{.}$ What transformations took $f(x)$ to $g(x)\text{?}$

8.

Suppose $f(x)=x^2-3$ and $g(x)$ is the same as $f(x)$ but shifted up by $1\text{.}$ Write a formula for $g(x)\text{.}$

9.

Suppose $f(x)=3x+4$ and $g(x)=3x+8\text{.}$ What transformations took $f(x)$ to $g(x)\text{?}$