Graphing a quadratic function in standard form

This video tutorial explains how to graph a quadratic equation in the form of y = ax^2 + bx + c. It covers finding the axis of symmetry, plotting points, and identifying the vertex and intercepts. The tutorial emphasizes the symmetry of the graph and demonstrates how to estimate X-intercepts. The lesson concludes with a summary of graphing techniques using a full table of values.

What is the general form of a quadratic equation?

• Y = AX + B

• Y = AX^2 + BX + C

• Y = AX^3 + BX^2 + C

• Y = AX^2 + B

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

• X = -A/2B

• X = A/2B

• X = -B/2A

• X = B/2A

If the axis of symmetry is X = 2, which of the following is a point to the left of the axis?

• (3, Y)

• (1, Y)

• (5, Y)

• (4, Y)

What is the Y value when X = 0 in the equation Y = X^2 - 4X + 1?

• 2

• -1

• 1

• 0

What is the vertex of the graph for the equation Y = X^2 - 4X + 1?

• (0, 1)

• (2, -3)

• (2, 1)

• (3, -2)

Which point is the Y-intercept of the graph?

• (3, -2)

• (2, -3)

• (1, 0)

• (0, 1)

Between which two X values does one of the X-intercepts lie?

• 0 and 1

• 1 and 2

• 2 and 3

• 3 and 4