Graphing Quadratic Functions Concepts

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, creating a table of values, calculating y-coordinates, and reflecting points over the axis of symmetry. The tutorial also discusses estimating x and y intercepts of the graph.

What is the equation we are graphing in this tutorial?

• y = x^2 + 5x + 3

• y = 3x^2 + 6x + 2

• y = 4x^2 + 2x + 5

• y = 2x^2 + 4x + 1

What is the standard form of a quadratic equation?

• y = ax^3 + bx^2 + c

• y = ax^2 + bx + c

• y = ax + b

• y = ax^2 + bx

Why is the axis of symmetry important in graphing quadratics?

• It is used to find the x-intercept.

• It helps in reflecting points to create a symmetrical graph.

• It determines the slope of the line.

• It helps find the y-intercept.

What is the formula for finding the axis of symmetry?

• x = -B / 2A

• x = B / 2A

• x = -A / 2B

• x = A / 2B

What are the values of A, B, and C in the equation y = 3x^2 + 6x + 2?

• A = 6, B = 3, C = 2

• A = 2, B = 3, C = 6

• A = 1, B = 2, C = 3

• A = 3, B = 6, C = 2

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

• x = -1

• x = 2

• x = 0

• x = 1

What is the first step in creating a table of values for graphing?

• Find the y-intercept.

• Choose random x-values.

• Select the vertex as the first point.

• Calculate the slope.

What is the y-value when x = -1 for the equation y = 3x^2 + 6x + 2?

• y = 1

• y = -1

• y = 0

• y = 2

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

• y = 1

• y = -1

• y = 0

• y = 2

What is the y-value when x = 1 for the equation y = 3x^2 + 6x + 2?

• y = 5

• y = 9

• y = 11

• y = 7