Quadratic functions

2010012201

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

2000004305

Level: 
B
In the picture A, the graph of the quadratic function \( f(x) = x^2\) is shown. With the aid of the graph of \(f\) identify which of the graphs shown in the picture B is the graph of \( g(x) = x^2-2x-3=(x+1)(x-3)\). What is the color of the graph of \(g\)? (Note: Each graph in the picture B was obtained by shifting the graph of \(f\).)
blue
red
yellow
green

2000004304

Level: 
B
In the picture A, the graph of the quadratic function \( f(x) = x^2\) is shown. With the aid of the graph of \(f\) identify which of the graphs shown in the picture B is the graph of \( g(x) = (x-2)^2\). What is the color of the graph of \(g\)? (Note: Each graph in the picture B is the graph of some transformation of \(f\).)
yellow
red
green
blue

2000004303

Level: 
B
In the picture A, the graph of the quadratic function \( f(x) = x^2\) is shown. With the aid of the graph of \(f\) identify which of the graphs shown in the picture B is the graph of \( g(x) = (x+2)^2\). What is the color of the graph of \(g\)? (Note: Each graph in the picture B was obtained by shifting the graph of \(f\).)
red
green
yellow
blue