Exploring Characteristics of Quadratic Functions

What is the vertex of a parabola?

• The point where the graph crosses the x-axis

• The highest or lowest point on the parabola

• The point where the graph crosses the y-axis

• The point where the graph is widest

What does the domain of a quadratic function represent?

• The minimum value of the function

• The set of all possible y-values

• The set of all possible x-values

• The maximum value of the function

What is the range of a function with a minimum value of -4?

• y <= -4

• y > -4

• y = -4

• y < -4

What is the range of a function with a maximum value of 5?

• y >= 5

• y > 5

• y <= 5

• y = 5

How many zeros does a function with two x-intercepts have?

• One

• None

• Two

• Three

What are other names for the zeros of a function?

• X-intercepts, Solutions, Roots

• Maximum, Minimum, Vertex

• Vertex, Domain, Range

• Axis of Symmetry, Vertex, Domain

If a quadratic function has no x-intercepts, how many real roots does it have?

• One

• Two

• Three

• None

What is the axis of symmetry in a quadratic function?

• A vertical line that divides the graph into two mirror images

• A horizontal line that divides the graph into two parts

• The minimum value of the function

• The maximum value of the function

How can the axis of symmetry be calculated from a quadratic equation in standard form?

• x = C/2a

• x = -B/2a

• x = B/2a

• x = -C/2a

Using the formula x = -B/2a, what is the axis of symmetry for a quadratic equation with a = 1, b = 6?

• x = -6

• x = 3

• x = 6

• x = -3