Combinations of transformations Quiz

1. $(2,5)$ lies on $y=f(x)$. Which point lies on $y=f(x-1)+3$?

• A. $(3,8)$
• B. $(1,8)$
• C. $(3,2)$
• D. $(1,2)$

2. $(2,5)$ lies on $y=f(x)$. Which point lies on $y=2f(x+1)$?

• A. $(3,10)$
• B. $(1,5)$
• C. $(1,10)$
• D. $(3,5)$

3. $(2,5)$ is a maximum of $y=f(x)$. Which is the maximum of $y=f(2x)-1$?

• A. $(4,4)$
• B. $(1,6)$
• C. $(4,6)$
• D. $(1,4)$

4. Which sequence maps $y=x^2$ onto $y=(x+2)^2-5$?

• A. $2$ right, $5$ down
• B. $2$ left, $5$ up
• C. $2$ left, $5$ down
• D. $2$ right, $5$ up

5. $y=f(x)$ has $x$-intercepts at $2$ and $6$. Find the $x$-intercepts of $y=f\left(\frac x2\right)$.

• A. $1$ and $3$
• B. $4$ and $12$
• C. $2$ and $6$
• D. $4$ and $6$