Understanding Zeros and Factors of Quadratic Functions

This tutorial explains how to identify zeros and factors of quadratic functions using a graph. It begins by defining zeros as x-intercepts and demonstrates how to find them on a graph. The tutorial then explains how to convert these zeros into factors, emphasizing the importance of opposite signs. The video concludes by discussing the role of factors in forming the quadratic equation and the significance of the 'a' value in the equation.

What is the primary focus of this tutorial?

• Identifying zeros and factors of linear functions

• Identifying zeros and factors of quadratic functions

• Identifying zeros and factors of exponential functions

• Identifying zeros and factors of cubic functions

What are zeros in the context of quadratic functions?

• The points where the graph is at its maximum

• The y-intercepts of the graph

• The points where the graph touches the y-axis

• The x-intercepts of the graph

Which of the following is a correct representation of zeros?

• As a set of numbers

• As ordered pairs

• Both as a set of numbers and ordered pairs

• Neither as a set of numbers nor ordered pairs

If x = -1 is a zero, what is the corresponding factor?

• X + 5

• X + 1

• X - 1

• X - 5

If x = 5 is a zero, what is the corresponding factor?

• X - 5

• X - 1

• X + 5

• X + 1

How do you convert a zero into a factor?

• By subtracting the zero from X

• By adding the zero to X

• By setting X minus the zero equal to zero

• By setting X equal to the zero

What happens to the sign of the zero when converting it to a factor?

• It becomes positive

• It becomes zero

• It changes to the opposite sign

• It remains the same

What is the role of 'a' in the quadratic equation?

• It determines the x-intercepts

• It affects the shape and direction of the parabola

• It determines the y-intercepts

• It has no effect on the graph

Why are factors written with parentheses?

• To separate them from zeros

• To make them look neat

• To show they are part of an equation

• To indicate multiplication

What should you do first when finding factors from a graph?

• Identify the vertex

• Identify the axis of symmetry

• Identify the zeros

• Identify the y-intercepts