Exponential functions

2010013018

Level: 
A
By what vector \(\vec{u}\) should the graph of the function \(f(x)=\left(\frac14\right)^{x-2}+3\) be translated to get the graph of the function \(f(x)=4^{5-x}-1\)?
\(\vec{u}=\left(3;-4\right)\)
\(\vec{u}=\left(-3;-4\right)\)
\(\vec{u}=\left(3;4\right)\)
\(\vec{u}=\left(-3;4\right)\)

2010013019

Level: 
A
By what vector \(\vec{u}\) should the graph of the function \(f(x)=\left(\frac14\right)^{5-x}-1\) be translated to get the graph of the function \(f(x)=4^{x-2}+3\)?
\(\vec{u}=\left(-3;4\right)\)
\(\vec{u}=\left(-3;-4\right)\)
\(\vec{u}=\left(3;4\right)\)
\(\vec{u}=\left(3;-4\right)\)

2010013020

Level: 
A
By what vector \(\vec{u}\) should the graph of the function \(f(x)=5^{x+1}-6\) be translated to get the graph of the function \(f(x)=\left(\frac15\right)^{3-x}-4\)?
\(\vec{u}=\left(4;2\right)\)
\(\vec{u}=\left(-4;-2\right)\)
\(\vec{u}=\left(4;-2\right)\)
\(\vec{u}=\left(-4;2\right)\)

2010013021

Level: 
A
By what vector \(\vec{u}\) should the graph of the function \(f(x)=5^{3-x}-4\) be translated to get the graph of the function \(f(x)=\left(\frac15\right)^{x+1}-6\)?
\(\vec{u}=\left(-4;-2\right)\)
\(\vec{u}=\left(4;2\right)\)
\(\vec{u}=\left(4;-2\right)\)
\(\vec{u}=\left(-4;2\right)\)

9000003702

Level: 
A
In the following list identify a function whose graph passes through the points \([3;0]\) and \([5;3]\).
\(f(x) = \left (\frac{1} {2}\right )^{3-x} - 1\)
\(f(x) = \left (\frac{1} {2}\right )^{3-x} + 1\)
\(f(x) = 1 -\left (\frac{1} {2}\right )^{x-3}\)
\(f(x) = \left (\frac{1} {2}\right )^{x-3} + 1\)
\(f(x) = 1 -\left (\frac{1} {2}\right )^{x+3}\)
\(f(x) = \left (\frac{1} {2}\right )^{x-3} - 1\)