Quadratic functions

1103206102

Level: 
C
There are graphs of three quadratic functions in the picture. Choose the formula which corresponds to all three functions graphed in the picture.
\( y=-(x+a)^2+3 \), \( a\in(-\infty; 0] \)
\( y=-(x+a)^2+3 \), \( a\in\mathbb{R}^+ \)
\( y=-(x+3)^2+a \), \( a\in\mathbb{R}^+ \)
\( y=-(x-3)^2+a \), \( a\in\mathbb{R}^+ \)

2010012201

Level: 
C
Function \( f \) is given completely by the graph. Identify which of the following statements is true.
\( f(x)=-\left|x^2-4\right|;\ x\in[ -3;3] \)
\( f(x)=-\left|x^2+4\right|;\ x\in[ -3;3]\)
\( f(x)=-\left|x^2\right|-4;\ x\in[ -3;3]\)
\( f(x)=\left|-x^2\right|-4;\ x\in[ -3;3] \)