Quadratic Functions and Their Zeros

In this video, Gwen compares two quadratic functions: one represented by an equation and the other by a graph. The video explains how to find the zeros of these functions. For the equation, the zeros are identified using the intercept form, where the values of P and Q are extracted. The graph's zeros are determined by observing where the graph crosses the x-axis. The video concludes by summarizing the zeros found from both the equation and the graph.

What are the two representations of quadratic functions that Gwen is comparing?

• Graph and table

• Graph and verbal description

• Equation and table

• Equation and graph

What is the intercept form of a quadratic equation?

• y = ax + b

• y = a(x + p)(x + q)

• y = a(x - p)(x - q)

• y = ax^2 + bx + c

In the intercept form y = a(x - p)(x - q), what do p and q represent?

• The y-intercepts

• The slope of the line

• The x-intercepts or zeros

• The coefficients of x

How do you convert the term X + 1 to fit the intercept form?

• X - 1

• X + 1

• X - (-1)

• X + (-1)

What is the value of P in the equation given X + 1?

• 1

• -1

• 0

• 2

What is the value of Q in the equation given X - 3?

• -3

• 3

• 1

• 0

What are the zeros identified from the graph?

• -1 and -5

• -1 and 5

• 1 and -5

• 1 and 5

Which zero is common between the equation and the graph?

• 3

• -5

• 5

• -1

What are the zeros of the quadratic function represented by the equation?

• -1 and -3

• 1 and 3

• 1 and -3

• -1 and 3

What are the complete set of zeros from both the equation and the graph?

• 1, 3, and -5

• -1, 3, and -5

• 1, -3, and -5

• -1, 3, and 5