Evaluating Quadratic Functions and Properties

The video tutorial explains how to graph quadratic functions using a table of values. It begins with an introduction to quadratic functions, describing their general form and the concept of parabolas. The tutorial then provides two examples of graphing quadratic functions: y = 2x^2 - x + 5 and y = -x^2 + 3x + 2. Each example includes creating a table of values, plotting points, and drawing the parabola. The video concludes with a prompt to subscribe for more math content.

What is the primary method used in the video to graph quadratic functions?

• Using a linear approximation

• Using a derivative

• Using a table of values

• Using a graphing calculator

What is the highest power of the variable in a quadratic function?

• Four

• Three

• Two

• One

Which of the following represents the general form of a quadratic function?

• y = ax^2 + bx + c

• y = ax + b

• y = ax^3 + bx^2 + cx + d

• y = a/x + b

What is the shape of the graph of a quadratic function called?

• Ellipse

• Circle

• Hyperbola

• Parabola

When is a parabola considered concave up?

• When the leading coefficient is one

• When the leading coefficient is negative

• When the leading coefficient is positive

• When the leading coefficient is zero

What is the significance of the leading coefficient in a quadratic function?

• It affects the domain of the function

• It determines the x-intercepts

• It affects the direction of the parabola

• It determines the y-intercept

What is the y-value when x = -2 for the function y = 2x^2 - x + 5?

• 15

• 8

• 5

• 11

What is the y-value when x = 0 for the function y = 2x^2 - x + 5?

• 11

• 6

• 5

• 8

What is the purpose of creating a table of values when graphing a quadratic function?

• To find the slope of the function

• To determine the x-intercepts

• To find corresponding y-values for given x-values

• To calculate the derivative

What is the y-value when x = 2 for the function y = 2x^2 - x + 5?

• 11

• 5

• 15

• 8