B

1103120001

Level: 
B
In the picture A, we are given the graph of the quadratic function \( f(x)=\frac12x^2 \). Use the graph of \( f \) as help to identify which of the graphs given in the picture B is the graph of \( g(x) =\frac12 x^2-2 \). Choose what is the colour of the graph of \( g \). (Note: The graphs in the picture B were obtained by shifting the graph of \( f \).)
blue
green
red
yellow

1003084909

Level: 
B
We were given an oscillating sequence \( 3\text{, }-3\text{, }\ 3\text{, }-3\text{, }\ 3\dots \) (numbers \( 3 \) and \( -3 \) alternate regularly). What is the formula for the $n$th element of the sequence?
\( a_n=(-1)^{n+1}\cdot3\text{, }\ n\in\mathbb{N} \)
\( a_n=(-1)^{n}\cdot3\text{, }\ n\in\mathbb{N} \)
\( a_n=3^n\text{, }\ n\in\mathbb{N} \)
\( a_n=-3^n\text{, }\ n\in\mathbb{N} \)