Quadratic functions

1103120003

Level: 
B
In the picture A, we are given the graph of the quadratic function f(x)=−2x2. Use the graph of f as help to identify which of the graphs given in the picture B is the graph of g(x)=−2(x+4)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.)
red
blue
green
yellow

1103120001

Level: 
B
In the picture A, we are given the graph of the quadratic function f(x)=12x2. Use the graph of f as help to identify which of the graphs given in the picture B is the graph of g(x)=12x2−2. 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

1003083110

Level: 
C
The graphs of the quadratic functions f and g have not the same vertex and f(x)=ax2+bx+c, where a, b, c are nonzero real numbers. Find g(x) such that the graph of g is the reflection of the graph of f about y-axis.
g(x)=ax2−bx+c, i.e. the equation of f and g differ in the sign of the coefficient at the linear term only
g(x)=−ax2+bx+c, i.e the equation of f and g differ in the sign of the coefficient at the quadratic term only
g(x)=ax2+bx−c, i.e. the equation of f and g differ in the sign of the coefficient at the absolute term only
g(x)=−ax2−bx−c, i.e. g(x)=−f(x)
None of the statements above is true.