Combining graph transformations Quiz

1. The graph of $y=f(x)$ is transformed to $y=f(x-2)$. This is a

• A. translation $2$ left
• B. translation $2$ right
• C. translation $2$ down
• D. stretch factor $2$

2. Which transformation maps $y=f(x)$ to $y=3f(x)$?

• A. translation up $3$
• B. stretch factor $3$ parallel to the $x$-axis
• C. stretch factor $\frac13$ parallel to the $y$-axis
• D. stretch factor $3$ parallel to the $y$-axis

3. $(6,4)$ lies on $y=f(x)$. What is its image on $y=f(2x)$?

• A. $(3,4)$
• B. $(12,4)$
• C. $(6,8)$
• D. $(6,2)$

4. Which describes $y=-\cos\left(x+\frac{\pi}{4}\right)$ from $y=\cos x$?

• A. translate right $\frac{\pi}{4}$, then reflect in the $x$-axis
• B. reflect in the $y$-axis, then translate up
• C. translate left $\frac{\pi}{4}$, then reflect in the $x$-axis
• D. stretch factor $\frac{\pi}{4}$

5. What is the maximum value of $3+\sin2x$?

• A. $3$
• B. $4$
• C. $5$
• D. $6$