Graphing Quadratic Functions in Vertex Form

What is the general form of a quadratic function?

• f(x) = ax^2 + bx + c

• f(x) = ax + b

• f(x) = a(x-h)^2 + k

• f(x) = ax^3 + bx^2 + cx + d

What does the 'a' in the quadratic function formula represent?

• The y-intercept of the parabola

• The x-intercepts of the parabola

• The coefficient that determines the parabola's direction and width

• The vertex of the parabola

Why is a non-zero 'a' value important in the quadratic function formula?

• It ensures the graph will be a parabola.

• It ensures the function is linear.

• It guarantees the graph will be a circle.

• It prevents the function from being quadratic.

Which of the following is a characteristic of all parabolas?

• They always touch the x-axis.

• They are straight lines.

• They are symmetric.

• They have a maximum of two real roots.

What is not a quality of a parabola?

• It can open upwards or downwards.

• It is symmetric about a vertical line.

• It is always a straight line.

• It has a vertex.