Finding Zeros of Quadratic Functions: The Power of Factored Form

This lesson explains the importance of the factored form of quadratic functions in identifying zeros. It reviews linear and quadratic forms, highlighting how different forms help find key features like Y intercepts and vertices. The lesson emphasizes that zeros are values of X for which F(X) = 0, and factored form makes it easy to identify these zeros. Through examples, the lesson demonstrates how to verify zeros using substitution. The lesson concludes by reinforcing the utility of factored form in analyzing quadratic functions.

Which form of a quadratic function is most useful for identifying the vertex?

• Factored form

• Linear form

• Standard form

• Vertex form

What is the primary benefit of using the factored form of a quadratic function?

• It provides a visual representation of the function.

• It simplifies the calculation of the vertex.

• It helps in finding the Y-intercept easily.

• It allows for quick identification of the zeros.

If a quadratic function has zeros at X = 5 and X = 9, which form would best reveal these zeros?

• Standard form

• Factored form

• Vertex form

• Linear form

How can you verify that a given X value is a zero of a quadratic function?

• By graphing the function and observing the curve.

• By finding the vertex and comparing it to the X value.

• By substituting the X value and checking if the output is zero.

• By checking if the Y-intercept is zero.

Which quadratic function would have X-intercepts at 3 and -8?

• A function where F(3) = 0 and F(-8) = 0

• A function where F(3) = 1 and F(-8) = 0

• A function where F(3) = 1 and F(-8) = 1

• A function where F(3) = 0 and F(-8) = 1