C

1003047602

Level: 
C
Choose the step to take first to efficiently evaluate the limit of the sequence (n−n2−1)n=1∞.
We expand with the expression n+n2−1.
We expand with the expression n−n2−1.
We expand with n.
We multiply by the expression n+n2−1.
We multiply by the expression n−n2−1.
We substitute n=∞.

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.

1003083108

Level: 
C
The parabolas of the functions f and g have the same vertex V and f(x)=ax2+c, where a and c are nonzero real numbers. Find g(x) such that the graphs of f and g are symmetric about the vertex V and that y-axis is their line of symmetry.
g(x)=−ax2+c, i.e. the equations of f and g differ in the sign of the coefficient at the quadratic term only
g(x)=ax2−c, i.e. the equations of f and g differ in the sign of the coefficient at the linear term only
g(x)=−ax2−c, i.e. g(x)=−f(x)
None of the statements above is true.