Quadratic functions
Types of exercises: vertex of a parabola, vertex and axis of symmetry from vertex form, vertex form and general form of a quadratic, factorised form of a quadratic, signs of the coefficients of a quadratic function from its graph, monotonicity of a quadratic function.
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Give the interval on which the function f is decreasing
f(x) = −2x² + 12x − 3
Give the zeros of the function f
f(x) = (x + 5)(x − 4)
Which statement about the signs of the coefficients a, b and c is true?
The figure shows the graph of the quadratic function f(x) = ax² + bx + c. The point V is the vertex of the parabola.
Give the coordinates of the vertex of the parabola
f(x) = 4x² − 32x + 62
Give the equation of the axis of symmetry of the parabola
y = −2(x + 5)² + 7
Choose the vertex form of the function f
f(x) = 2x² + 24x + 72
Give the interval on which the function f is decreasing
f(x) = −3x² + 18x + 1
Give the zeros of the function f
f(x) = 2(x + 5)(x − 1)
Which statement about the signs of the coefficients a, b and c is true?
The figure shows the graph of the quadratic function f(x) = ax² + bx + c. The point V is the vertex of the parabola.
Give the coordinates of the vertex of the parabola
f(x) = −4x² − 40x − 115
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