What is a quadratic function

The video tutorial introduces quadratic functions, defining them as polynomials of degree 2 where the coefficient 'a' cannot be zero. It explains the importance of quadratic functions in various mathematical applications, such as using the quadratic formula, completing the square, and finding the axis of symmetry. The tutorial also covers the parent graph of a quadratic function, which is a parabola symmetric about the y-axis. Key concepts include understanding the format of a quadratic function and the roles of coefficients a, b, and c.

What is the degree of a quadratic function?

• 3

• 2

• 1

• 4

Why must the coefficient 'a' in a quadratic function not be zero?

• It would turn the function into a linear function

• It would make the function undefined

• It would turn the function into a constant

• It would make the function a cubic function

Which of the following is NOT an application of quadratic functions?

• Finding the axis of symmetry

• Completing the square

• Calculating the derivative

• Using the quadratic formula

In the quadratic function ax^2 + bx + c, what is the role of 'c'?

• Coefficient of the quadratic term

• Coefficient of the linear term

• Coefficient of the cubic term

• Constant term

What is the shape of the parent graph of a quadratic function?

• Circle

• Ellipse

• Parabola

• Hyperbola