Transformations of functions Quiz

1. What does $y=f(x)-2$ do to the graph of $y=f(x)$?

• A. Translates it $2$ units up
• B. Translates it $2$ units left
• C. Translates it $2$ units down
• D. Translates it $2$ units right

2. What does $y=f(x+3)$ do to the graph of $y=f(x)$?

• A. Translates it $3$ units right
• B. Translates it $3$ units left
• C. Translates it $3$ units up
• D. Translates it $3$ units down

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

• A. A reflection in the $x$-axis
• B. A reflection in the $y$-axis
• C. A translation $1$ unit down
• D. A stretch with scale factor $-1$ from the $y$-axis

4. $(6,4)$ lies on $y=f(x)$. Which point lies on $y=f(2x)$?

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

5. $y=f(x)$ has a turning point at $(1,-2)$. Where is the turning point of $y=3f(x)$?

• A. $(3,-2)$
• B. $(1,-6)$
• C. $(1,1)$
• D. $\left(\frac13,-2\right)$