Characteristics of a Parabola

What is the axis of symmetry in a parabola?

• A vertical line that divides the parabola into two mirror-image halves.

• A horizontal line that intersects the parabola at its vertex.

• A diagonal line that runs from one side of the parabola to the other.

• A curved line that follows the shape of the parabola.

What is the standard form of a quadratic function?

• f(x) = ax² + bx + c

• f(x) = a(x - h)² + k

• f(x) = ax³ + bx² + cx + d

• f(x) = a/x + b

What is the graph of a quadratic function called?

• Line

• Circle

• Parabola

• Ellipse

Which best describes the vertex of a parabola?

• The point where the parabola intersects the x-axis.

• The highest or lowest point of a parabola.

• The point where the parabola intersects the y-axis.

• The axis of symmetry of the parabola.

How can you determine if a parabola opens upwards or downwards?

• By the sign of the 'a' coefficient in the quadratic equation.

• By the value of the vertex of the parabola.

• By the length of the axis of symmetry.

• By the position of the focus relative to the directrix.

If 'a' is positive, what direction does the parabola open?

• Upwards.

• Downwards.

• Leftwards.

• Rightwards.

What is the significance of the vertex in a parabola?

• It represents the maximum or minimum value of the quadratic function.

• It indicates the axis of symmetry of the parabola.

• It determines the direction in which the parabola opens.

• It is the point where the parabola intersects the x-axis.

Does this parabola have a maximum or minimum?

• Maximum

• Minimum

• Neither

• Both

What is the green dot on this parabola called?

• Focus

• Vertex

• Axis of Symmetry

• Directrix

If 'a' is negative, what direction does the parabola open?

• Upwards

• Downwards

• Sideways

• Inwards