Exploring Characteristics of Quadratic Graphs

The video tutorial covers the characteristics of parabolas, including their domain and range, vertex, maximum and minimum points, axis of symmetry, zeros, x-intercepts, and y-intercepts. It explains how to identify these features on a graph and provides examples to illustrate each concept. The tutorial emphasizes the importance of understanding these characteristics for analyzing quadratic functions.

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

• A straight line

• A circle

• A U-shaped curve

• A zigzag line

What is the domain of a parabola?

• All real numbers

• All negative numbers

• Numbers between -1 and 1

• All positive numbers

What is the vertex of a parabola?

• The midpoint of the graph

• The point where the graph intersects the x-axis

• The highest or lowest point on the graph

• The point where the graph intersects the y-axis

If a parabola opens upwards, what is the vertex called?

• A solution

• A maximum

• A minimum

• An intercept

What is the axis of symmetry in a parabola?

• A curved line through the vertex

• A vertical line through the vertex

• A horizontal line through the vertex

• A diagonal line through the vertex

How is the equation of the axis of symmetry written?

• x = my + b

• y = a number

• x = a number

• y = mx + b

What are the zeros of a parabola?

• The highest points on the graph

• The points where the graph touches the y-axis

• The lowest points on the graph

• The points where the graph touches the x-axis

What is another term for the zeros of a parabola?

• Symmetries

• Intercepts

• Solutions

• Vertices

Where does the y-intercept of a parabola occur?

• Where the graph touches the y-axis

• At the vertex

• Where the graph touches the x-axis

• At the axis of symmetry

What is the y-intercept of a parabola with the point (0, 5)?

• (5, 5)

• (0, 5)

• (5, 0)

• (0, 0)