(a) Which of the following is the graph of $f(x)$? Select A B C D None of the graphs above

(b) Which of the following is the graph of $g(x)$? Select A B C D None of the graphs above

A		B		C		D

(c) The period of $f(x)$ is .
(d) The amplitude of $f(x)$ is .
(e) The midline of $f(x)$ is $y =$ .

(f) Choose the statement that best describes the starting behavior of $f(x)$. That is, what happens as $f(x)$ crosses the vertical axis?
A. $f(x)$ crosses the vertical axis at the midline and increases as the input values get bigger.
B. $f(x)$ crosses the vertical axis at the midline and decreases as the input values get bigger.
C. $f(x)$ crosses the vertical axis at its maximum value and decreases as the input values get bigger.
D. $f(x)$ crosses the vertical axis at its minimum value and increases as the input values get bigger.

Answer the following about the function $g(x)$:

(g) The period of $g(x)$ is .
(h) The amplitude of $g(x)$ is .
(i) The midline of $g(x)$ is $y =$ .

(j) Choose the statement that best describes the starting behavior of $g(x)$. That is, what happens as $g(x)$ crosses the vertical axis?
A. $g(x)$ crosses the vertical axis at the midline and increases as the input values get bigger.
B. $g(x)$ crosses the vertical axis at the midline and decreases as the input values get bigger.
C. $g(x)$ crosses the vertical axis at its maximum value and decreases as the input values get bigger.
D. $g(x)$ crosses the vertical axis at its minimum value and increases as the input values get bigger.

(k) Choose the statements below that can describe the differences between the two functions $f(x)$ and $g(x)$.
A. $f(x)$ and $g(x)$ are both vertical stretches and shifts of $\sin(x)$, but $g(x)$ is also a reflection of $\sin(x)$ across the horizontal axis.
B. $f(x)$ and $g(x)$ are both vertical stretches and shifts of $\sin(x)$, but $g(x)$ is also a reflection of $\sin(x)$ across the vertical axis.
C. $g(x)$ is the function $f(x)$ reflected across the horizontal axis.
D. $g(x)$ is the function $f(x)$ reflected across the vertical axis.
E. $f(x)$ and $g(x)$ are the same function.

Hint: