What is relative minimum and maximmum of a quadratic

The video tutorial explores the differences between linear and quadratic equations, focusing on their graphing properties. Linear equations have no restrictions on their domain and range, extending to infinity. Quadratic equations, however, have restrictions on their maximum and minimum values, known as relative min and max. The tutorial explains how these points relate to the axis of symmetry in a parabola, providing a comprehensive understanding of graphing quadratics.

What is the domain of a linear equation?

• Negative infinity to 0

• 0 to 1

• Negative infinity to positive infinity

• 0 to positive infinity

Which shape is associated with the graph of a quadratic equation?

• Circle

• Line

• Parabola

• Ellipse

What is a key feature of a quadratic graph regarding its minimum and maximum values?

• It has no minimum or maximum values

• It has a relative minimum or maximum

• It only has a minimum value

• It only has a maximum value

How do the relative minimum and maximum points relate to the axis of symmetry in a quadratic graph?

• They are always below the axis

• They lie on the axis of symmetry

• They are always above the axis

• They are unrelated

What is a major difference between linear and quadratic equations in terms of extrema?

• Linear equations have both relative min and max

• Linear equations have no relative min or max

• Quadratic equations have no relative min or max

• Quadratic equations have no extrema