Graphing a quadratic function in standard form

The video tutorial explains how to graph a quadratic equation in the form of y = ax^2 + bx + c. It covers identifying coefficients, finding the axis of symmetry, calculating the vertex, and creating a table of values. The tutorial demonstrates plotting points to form a parabola and discusses key points like the vertex, y-intercept, and x-intercept. It also highlights the effect of a negative 'a' value on the graph's direction.

What is the standard 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 calculate the axis of symmetry for a quadratic equation?

• X = B / 2A

• X = -A / 2B

• X = A / 2B

• X = -B / 2A

What is the axis of symmetry for the equation Y = -X^2 + 2X - 5?

• X = 0

• X = 2

• X = 1

• X = -1

When evaluating the quadratic equation at X = 0, what is the Y value?

• 5

• -5

• -8

• 0

What is the Y value when X = 1 for the equation Y = -X^2 + 2X - 5?

• -6

• -5

• -4

• -3

What is the vertex of the quadratic equation Y = -X^2 + 2X - 5?

• (1, -4)

• (0, -5)

• (1, -5)

• (0, -4)

Does the graph of Y = -X^2 + 2X - 5 have an X-intercept?

• Yes, at X = -1

• Yes, at X = 0

• Yes, at X = 1

• No, it does not have an X-intercept