Finding the Vertex of Quadratic Functions

The video tutorial explains how to compare two quadratic functions, one given as an equation and the other as a table. It guides through finding the vertex of each function. For the table, the vertex is identified as the minimum point. For the equation, the vertex is calculated using the formula H = -b/2a, and the x-value is plugged back into the equation to find the y-value. The tutorial concludes with identifying the vertex points for both representations.

What are the two representations of quadratic functions discussed in the problem?

• Equation and graph

• Equation and table

• Table and graph

• Graph and diagram

How is the vertex identified in a table of values?

• By finding the highest value

• By finding the lowest value

• By finding the average value

• By finding the minimum or maximum value

What is the vertex of the quadratic function represented in the table?

• (-2, -9)

• (-2, 9)

• (2, 9)

• (2, -1)

Which formula is used to find the x-coordinate of the vertex in a quadratic equation?

• H = 2a/b

• H = b/2a

• H = -b/2a

• H = -2a/b

What is the x-coordinate of the vertex for the quadratic equation given?

• 0

• -2

• 2

• 4

How do you find the y-coordinate of the vertex once you have the x-coordinate?

• By dividing the x-coordinate by 2

• By multiplying the x-coordinate by 2

• By substituting the x-coordinate into the original equation

• By adding the x-coordinate to the equation

What is the y-coordinate of the vertex for the quadratic equation?

• -1

• 1

• 2

• 0

What is the vertex of the quadratic function represented by the equation?

• (2, 1)

• (-2, 9)

• (2, -1)

• (-2, -1)

Which of the following is NOT a step in finding the vertex of a quadratic equation?

• Finding the average of all values

• Using the formula H = -b/2a

• Identifying the minimum or maximum value

• Substituting the x-coordinate into the equation

What is the final step in determining the vertex of a quadratic function?

• Identifying the x-coordinate

• Identifying the y-coordinate

• Calculating the average

• Checking the answer options