Graphing Quadratic Functions Concepts

In this video, Justin teaches how to graph quadratic functions in factored form. The lesson covers the steps to factor a quadratic, find its roots, determine the line of symmetry, and calculate the vertex. Examples are provided to clarify these steps, including handling special cases like multiplicity of roots. The video concludes with a recap of key points and a preview of future lessons on solving real-world problems using quadratic graphs.

What is the main focus of this lesson?

• Graphing linear functions

• Understanding polynomial functions

• Graphing quadratic functions in factored form

• Solving quadratic equations

What is the factored form of the quadratic function x² + 6x + 8?

• (x + 4)(x + 6)

• (x + 2)(x + 4)

• (x + 1)(x + 8)

• (x + 3)(x + 5)

What is the first step in graphing a quadratic function in factored form?

• Find the vertex

• Calculate the y-intercept

• Draw the curve

• Factor the quadratic function

How do you find the roots of a quadratic function in factored form?

• Set each factor equal to zero and solve

• Add the coefficients

• Multiply the factors

• Divide the constant term by the leading coefficient

What do the roots of a quadratic function represent on its graph?

• The line of symmetry

• The vertex

• The x-intercepts

• The y-intercepts

How can you find the line of symmetry for a quadratic function?

• By finding the product of the roots

• By finding the average of the roots

• By finding the difference of the roots

• By finding the sum of the roots

What is the minimum number of points needed to accurately draw a parabola?

• Four

• Two

• Three

• One

What happens if a GCF includes an x when factoring a quadratic?

• The root will be undefined

• There will be no root

• The root will be 0

• The root will be 1

What should you do if a quadratic function is unfactorable?

• Use a different graphing method

• Use the same method

• Ignore the function

• Assume it has no graph

What is a squared binomial?

• A binomial with two different roots

• A binomial with a multiplicity of 2

• A binomial with no roots

• A binomial with a single root