Understanding Parabolas and Quadratics

This video tutorial covers the basics of graphing quadratics, focusing on key vocabulary such as parabolas, vertex, axis of symmetry, and intercepts. It explains how to identify and label these elements on a graph, discusses the concepts of domain and range, and provides examples for practice. The video emphasizes the importance of understanding these terms for mastering quadratic graphing.

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

• Parabola

• Hyperbola

• Circle

• Ellipse

What is the parent function of all quadratic equations?

• y = x

• y = 2x

• y = x^2

• y = x^3

What is the vertex of a parabola?

• The point where the graph crosses the y-axis

• The midpoint of the graph

• The highest or lowest point on the graph

• The point where the graph crosses the x-axis

What is the axis of symmetry in a parabola?

• The y-axis

• A line that is parallel to the x-axis

• The x-axis

• A line that divides the parabola into two identical halves

How is the axis of symmetry of a parabola typically written?

• x = b

• y = b

• x = a

• y = a

What is the vertex of a parabola with the coordinate point (1, -2)?

• (1, -2)

• (0, 0)

• (2, 1)

• (-1, 2)

If a parabola opens upwards, what is the nature of its vertex?

• Both

• Neither

• Minimum

• Maximum

What is the domain of a quadratic function?

• All integers

• All negative numbers

• All positive numbers

• All real numbers

What is the range of a parabola that starts at y = -2 and goes upwards?

• y > -2

• y < -2

• y ≥ -2

• y ≤ -2

What should the x-value of the vertex match in a parabola?

• The slope

• The y-intercept

• The x-intercept

• The axis of symmetry