Single transformations of curves Quiz

1. Which single transformation maps $y=\mathrm{f}(x)$ onto $y=\mathrm{f}(x)-4$?

• A. Translation by $\begin{pmatrix}-4\\0\end{pmatrix}$
• B. Translation by $\begin{pmatrix}0\\-4\end{pmatrix}$
• C. Translation by $\begin{pmatrix}4\\0\end{pmatrix}$
• D. Stretch parallel to the $y$-axis, scale factor $-4$

2. Describe the transformation $y=\mathrm{f}(3x)$.

• A. Stretch parallel to the $y$-axis, scale factor $3$
• B. Stretch parallel to the $x$-axis, scale factor $3$
• C. Translation by $\begin{pmatrix}-3\\0\end{pmatrix}$
• D. Stretch parallel to the $x$-axis, scale factor $\frac13$

3. $(6,-2)$ lies on $y=\mathrm{f}(x)$. Which point lies on $y=-\mathrm{f}(x)$?

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

4. The line $y=2x+1$ is reflected in $y=x$. What is the image?

• A. $y=2x-1$
• B. $y=\frac{x+1}{2}$
• C. $y=\frac{x-1}{2}$
• D. $y=-2x-1$

5. The curve $y=x^3+x^2$ is reflected in the $y$-axis. What is the image?

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