Graph transformations Quiz

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

• A. translation by $\binom{3}{0}$
• B. translation by $\binom{-3}{0}$
• C. translation by $\binom{0}{3}$
• D. translation by $\binom{0}{-3}$

2. $y=f(x)$ is transformed to $y=f(2x)$. Which description is correct?

• A. stretch parallel to the $x$-axis, scale factor $2$
• B. stretch parallel to the $x$-axis, scale factor $\frac12$
• C. stretch parallel to the $y$-axis, scale factor $2$
• D. stretch parallel to the $y$-axis, scale factor $\frac12$

3. State the asymptotes of $y=\frac{1}{x+2}+3$.

• A. $x=2$ and $y=3$
• B. $x=-2$ and $y=-3$
• C. $x=-2$ and $y=3$
• D. $x=3$ and $y=-2$

4. The curve $y=e^x$ is reflected in the $y$-axis. Its equation is

• A. $y=-e^{x}$
• B. $y=-e^{-x}$
• C. $y=e^{x}-1$
• D. $y=e^{-x}$

5. $(4,6)$ lies on $y=f(x)$. The curve is stretched by scale factor $2$ parallel to the $x$-axis, then reflected in the $x$-axis. Where does $(4,6)$ go?

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