2.8 Transformations of graphs Quiz

1. The graph of $y=f(x)$ is translated by $\begin{pmatrix}3\\ -2\end{pmatrix}$. What is the equation of the image?

• A. $y=f(x+3)-2$
• B. $y=f(x-3)-2$
• C. $y=f(x-3)+2$
• D. $y=f(x+3)+2$

2. The graph of $y=f(-x)$ is the graph of $y=f(x)$ reflected in...

• A. the $x$-axis
• B. the line $y=x$
• C. the origin only
• D. the $y$-axis

3. $y=f(4x)$ is a horizontal stretch of $y=f(x)$ with scale factor...

• A. $4$
• B. $-4$
• C. $\frac14$
• D. $\frac{1}{16}$

4. Which sequence maps $y=x^2$ onto $y=3x^2+2$?

• A. stretch vertically by 3, then translate up 2
• B. translate up 2, then stretch vertically by 3
• C. stretch horizontally by 3, then translate up 2
• D. translate right 2, then stretch vertically by 3

5. $(3,5)$ lies on $y=f(x)$. Which point lies on $y=-2f(x)$?

• A. $(-3,10)$
• B. $(3,-10)$
• C. $(-6,5)$
• D. $(3,-2.5)$