Transformations of Graphs of Exponential Functions

Project ID: 
6000000013
Accepted: 
Type: 
Layout: 
Question: 
Match the graphs with their equations.
Question 1: 
\graf{2^((\x)-1)}{-7}{4}
Question 1 Image: 
Answer 1: 

$f(x)=2^{x-1}$

Question 2: 
\graf{2^(1-(\x))}{-2}{7}
Question 2 Image: 
Answer 2: 

$f(x)=2^{1-x}$

Question 3: 
\graf{-2^(\x)}{-7}{2.75}
Question 3 Image: 
Answer 3: 

$f(x)=-2^x$

Question 4: 
\graf{-2^(\x)+2}{-7}{3}
Question 4 Image: 
Answer 4: 

$f(x)=-2^x+2$

Question 5: 
\graf{-2^(2-(\x))}{-0.75}{7}
Question 5 Image: 
Answer 5: 

<p>$f(x)=-2^{2-x}$</p>

Question 6: 
\graf{2^(\x)-2}{-7}{3}
Question 6 Image: 
Answer 6: 

$f(x)=2^{x}-2$

Tex: 
%tiket 32588 \NastavOD{3} \newcommand\graf[4][-6.5,6.5,-5.5,5.5] { % nepoviny parametr jsou meze pro kresleni, druhy povinny parametr je funkcni predps, posledni dva definujou domain \obrMsr{#1}[6cm,6cm]{ {\obrClip \draw[help lines, step = 1] (-8,-8) grid (8.5,8.5); } \obrOsy \obrClip \obrFce[very thick,domain=#3:#4]{#2} \footnotesize \obrPopisX{-6,-4,-2,2,4,6} \obrPopisY[left,yshift=-3pt]{-4,-2,2,4} } }