Find the equation of the graph in red, where the graph of $y=2^x$ is given in blue.
Correct
Incorrect
Hint
$y=a^x$ is shifted to the right by $b$ units, $y=a^{x-b}$. $y=a^x$ is shifted to the left by $b$ units, $y=a^{x+b}$. $y=a^x$ is shifted up by $c$ units, $y=a^x + c$. $y=a^x$ is shifted down by $c$ units, $y=a^x – c$.
Question 9 of 10
9. Question
Find the equation of the graph in red, where the graph of $y=e^x$ is given in blue.
Correct
Incorrect
Hint
$y=a^x$ is shifted to the right by $b$ units, $y=a^{x-b}$. $y=a^x$ is shifted to the left by $b$ units, $y=a^{x+b}$. $y=a^x$ is shifted up by $c$ units, $y=a^x + c$. $y=a^x$ is shifted down by $c$ units, $y=a^x – c$.
Question 10 of 10
10. Question
The mass of radioactive \(t \) hours after establishment is \({R_t} = 800 \times {0.8^{0.5t}}\) grams. Find the time for the mass to reach 300 grams. Answer correct to the nearest minute.
