2010017004
Level:
B
The graph of the function \( f(x)=3x^2-6x-3\) is a parabola. Which of the following points is the vertex of this parabola?
\( [1;-6] \)
\( [0;-3] \)
\( [1;-8] \)
\( [-1;0] \)
Quadratic functions
2010017005
Level:
B
Let \( f(x)=3x^2 \). Given the graph of the function \( f \) and the graph of a function \( g \) which was obtained as a left shift of the graph of \( f \) (see the picture), choose the function \( g \).
\( g(x) = 3(x+2)^2 \)
\( g(x) = 3(x-2)^2 \)
\( g(x) = 3x^2+3 \)
\( g(x) = 3x^2 +12 \)
2010017006
Level:
B
The graph of the function \( f \) is a parabola, vertex of which is \( [-4;0] \) and \( f(2)= 12 \) is given. Find the function \( f \).
\( f(x)=\frac13(x+4)^2 \)
\( f(x)=\frac13(x-4)^2 \)
\( f(x)=-\frac13(x+4)^2 \)
\( f(x)=-\frac13(x-4)^2 \)
9000007106
Level:
B
The picture shows a graph of a quadratic function and three points on the graph. In
the following list identify another point on the graph of the same quadratic
function.
\([0.4;0.16]\)
\([0.4;0.2]\)
\([0.4;0.8]\)
\([0.04;0.16]\)
9000007107
Level:
B
The picture shows a graph of a quadratic function and three points on the graph. In
the following list identify another point on the graph of the same quadratic
function.
\([0.6;0.36]\)
\([0.18;0.36]\)
\([0.36;0.6]\)
\([0.6;3.6]\)
9000007108
Level:
B
The picture shows a graph of a quadratic function and three points on the graph. In
the following list identify another point on the graph of the same quadratic
function.
\([3;3]\)
\([3;2]\)
\([3;4]\)
\([3;9]\)
9000007109
Level:
B
The picture shows a graph of a quadratic function and three points on the graph. In
the following list identify another point on the graph of the same quadratic
function.
\([2;3]\)
\([2;2]\)
\([2;4]\)
\([2;5]\)
9000007110
Level:
B
The picture shows a graph of a quadratic function and three points on the graph. In
the following list identify another point on the graph of the same quadratic
function.
\([-1;-3]\)
\([-1;-1]\)
\([-1;-2]\)
\([-1;-4]\)
9000014803
Level:
B
The graph of the function \(f(x) = 6x^{2} + 3\) is a parabola. Which of the following points is the vertex of this parabola?
\([0;3]\)
\([3;0]\)
\([1;9]\)
\([1;2]\)
9000014804
Level:
B
The graph of the function \(f(x) = x^{2} - 4x + 13\) is a parabola. Which of the following points is the vertex of this parabola?
\([2;9]\)
\([-2;13]\)
\([-4;13]\)
\([0;13]\)