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.