Exploring Quadratic Functions and Graph Properties

What shape is the graph of a quadratic function?

• Circle

• U-shaped

• Triangle

• Straight line

If the leading coefficient 'a' is positive, how does the parabola open?

• Downwards

• Does not open

• Upwards

• Sideways

What is the line called that divides a parabola into two matching halves?

• Central axis

• Median line

• Axis of symmetry

• Axis of division

Where does the graph of a quadratic function typically cross the y-axis?

• At the x-intercepts

• At the y-intercept

• Outside the graph

• At the vertex

What is the end behavior of a quadratic function when 'a' is negative?

• Approaches infinity

• Approaches negative infinity

• Remains constant

• Fluctuates

During which interval is the graph of a quadratic function increasing?

• Left of the vertex

• Right of the vertex

• At the vertex

• None of the above

What is the range of a quadratic function with a maximum value at y = 2?

• y > 2

• y < 2

• y ≤ 2

• y ≥ 2

Identify the vertex from the graph if the parabola opens downwards.

• Midpoint

• Intersection point

• Lowest point

• Highest point

What does the x-value of the vertex represent in the graph of a quadratic function?

• Y-intercept

• X-intercept

• Range

• Axis of symmetry

How many x-intercepts can a quadratic function have?

• One

• Two

• None

• All of the above