Understanding Quadratic Functions Concepts

The video tutorial demonstrates how to graph a quadratic function by identifying coefficients, calculating the axis of symmetry, finding the vertex, filling in a table of values, and plotting points to identify the roots. The process involves using the quadratic formula and basic arithmetic to complete the graphing task.

What are the coefficients A, B, and C in the quadratic function discussed?

• A=1, B=6, C=8

• A=3, B=6, C=8

• A=1, B=5, C=9

• A=2, B=5, C=7

Which formula is used to find the axis of symmetry in a quadratic function?

• A/2B

• -B/2A

• B/2A

• -A/2B

What is the axis of symmetry for the given quadratic function?

• -6

• 3

• 6

• -3

How do you find the vertex of a quadratic function?

• Find the midpoint of the roots

• Calculate the average of A and C

• Substitute the axis of symmetry into the function

• Use the formula -B/2A

What is the vertex of the quadratic function in the video?

• (3, -31)

• (-3, -31)

• (3, 31)

• (-3, 31)

How are the X values filled in the table of values?

• By increasing by ones

• By decreasing by twos

• By increasing by threes

• By decreasing by ones

What pattern is used to fill the Y values when A is 1?

• Out two, up two; out two, up four

• Out one, up one; out one, up three

• Out one, up two; out one, up four

• Out two, up one; out two, up three

What is the purpose of filling in the table of values?

• To find the roots

• To plot the graph accurately

• To calculate the axis of symmetry

• To determine the vertex

Which points are plotted on the graph?

• (6, 36), (2, 5), (0, 0)

• (3, 31), (2, 4), (1, 3)

• (4, 30), (1, 2), (0, 1)

• (5, 34), (0, 3), (1, -2)

What are the roots of the quadratic function?

• 3 and 1

• -3 and -1

• 4 and 2

• -4 and -2