Quadratic functions

1103148604

Level: 
B
The total mechanical energy E of an object is given by the formula E=mgh+12mv2, where m is the mass of the object, g is the acceleration due to gravity (about 10m/s2), h is the height of the object above the ground and v is the velocity of that object. Suppose that an object of the fixed mass m moves horizontally in the constant height h above the ground. Choose the graph, which could represent the dependence between the total mechanical energy (E) and velocity (v) of the object.

2000004302

Level: 
B
In the picture A, the graph of the quadratic function f(x)=x2 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)=12x2. What is the color of the graph of g? (Note: Each graph in the picture B is the graph of some transformation of f.)
green
blue
yellow
red

2000004303

Level: 
B
In the picture A, the graph of the quadratic function f(x)=x2 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

2000004304

Level: 
B
In the picture A, the graph of the quadratic function f(x)=x2 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)=(x2)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

2000004305

Level: 
B
In the picture A, the graph of the quadratic function f(x)=x2 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)=x22x3=(x+1)(x3). 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