Writing Quadratic Equations Using Points on the Parabola

This video tutorial covers the analysis of voter turnout data using quadratic models. It begins with an introduction to the data and the concept of quadratic models. The lesson then reviews solving systems of equations using the elimination method. It proceeds to teach how to write quadratic functions in both vertex and standard forms using given points. Finally, the tutorial applies these concepts to analyze voter turnout data, determining the year with the lowest turnout using a quadratic model.

What method is used to solve the system of equations in the introduction?

• Graphical method

• Matrix method

• Substitution method

• Elimination method

In the vertex form of a quadratic function, what does the 'a' value indicate?

• The y-intercept of the parabola

• The direction the parabola opens

• The x-intercept of the parabola

• The slope of the parabola

Which point is used to verify the vertex form of the quadratic function?

• (3, 7)

• (0, 1)

• (1, -5)

• (2, -1)

What is the value of 'c' in the standard form of the quadratic function derived in the lesson?

• 2

• 1

• -1

• 0

How many points are used to derive the quadratic function in standard form?

• Five

• Four

• Three

• Two

What is the significance of the vertex in the quadratic model for voter turnout?

• It represents the total voter turnout.

• It represents the average voter turnout.

• It represents the lowest voter turnout.

• It represents the highest voter turnout.

In what year did the lowest voter turnout occur according to the quadratic model?

• 1996

• 1992

• 1984

• 1980