Graphing a quadratic function in standard form

The video tutorial explains how to graph a quadratic equation in the form y = ax^2 + bx + c. It covers finding the axis of symmetry using the formula x = -b/2a, plotting the axis, and creating a table of values to identify the vertex. The tutorial demonstrates reflecting points over the axis of symmetry to complete the graph and discusses finding y-intercepts and estimating x-intercepts.

What is the standard form of a quadratic equation?

• y = ax^2 + b

• y = ax^3 + bx^2 + c

• y = ax^2 + bx + c

• y = ax + b

How do you find the axis of symmetry for a quadratic equation in standard form?

• x = -a/2b

• x = b/2a

• x = -b/2a

• x = a/2b

What is the axis of symmetry for the equation y = 3x^2 + 6x + 2?

• x = -1

• x = 1

• x = 0

• x = 2

Which point is the vertex of the quadratic equation y = 3x^2 + 6x + 2?

• (-2, 2)

• (-1, -1)

• (0, 2)

• (1, 11)

What is the y-coordinate of the point when x = 0 for the equation y = 3x^2 + 6x + 2?

• 0

• 11

• 2

• 6

Where does the graph of y = 3x^2 + 6x + 2 intersect the y-axis?

• (0, -1)

• (2, 0)

• (0, 2)

• (0, 0)

What is the estimated range for the x-intercepts of the graph y = 3x^2 + 6x + 2?

• -2 < x < -1 and -1 < x < 0

• -1 < x < 0 and 1 < x < 2

• -3 < x < -2 and -1 < x < 0

• -2 < x < -1 and 0 < x < 1