Key Features of Quadratic Functions Explained

The video tutorial introduces quadratic functions, starting with the parent function f(x) = x^2. It covers creating a table of values, graphing the function, and identifying key features such as x-intercepts, y-intercepts, axis of symmetry, and vertex. The tutorial also explains the domain and range of quadratic functions and introduces the concept of transformed quadratic functions using vertex form.

What is the parent function of a quadratic function?

• f(x) = 2x

• f(x) = x + 2

• f(x) = x^2

• f(x) = x^3

What shape does the graph of a quadratic function form?

• Hyperbola

• Circle

• Ellipse

• Parabola

Where does the graph of the parent quadratic function cross the x-axis?

• At (0,0)

• At (1,0)

• At (-1,0)

• Does not cross

What is the axis of symmetry for the parent quadratic function?

• y = 1

• x = 0

• x = 1

• y = 0

What is the vertex of the parent quadratic function?

• (0, 1)

• (1, 1)

• (1, 0)

• (0, 0)

What is the minimum value of the vertex for the parent quadratic function?

• Undefined

• -1

• 0

• 1

What is the domain of a quadratic function?

• All real numbers

• All negative numbers

• All positive numbers

• Numbers greater than zero

What symbol is used to represent all real numbers?

• R

• All

• ℝ

• ∞

What is the range of the parent quadratic function?

• y ≥ 0

• y ≤ 0

• y < 0

• y > 0

What does the vertex form of a quadratic function look like?

• f(x) = a(x - h) + k

• f(x) = a(x - h)^2 + k

• f(x) = a(x + h)^2 + k

• f(x) = a(x^2) + h + k