Exploring Key Features of Quadratics

This video tutorial covers the key features of quadratic functions, including their standard form, graph properties, and terminology such as vertex, axis of symmetry, and intercepts. It provides a detailed analysis of specific quadratic functions, explaining how to determine their domain, range, and intervals of increase and decrease. The tutorial also includes practice problems to reinforce understanding of these concepts.

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

• 4

• 3

• 1

• 2

What shape does the graph of a quadratic function form?

• Straight line

• U-shape

• Spiral

• Circle

What does the vertex of a parabola represent?

• Highest point on the graph

• Intersection with the y-axis

• Intersection with the x-axis

• Turning point of the graph

If a quadratic function opens downwards, what is the vertex considered as?

• Inflection point

• Intercept

• Maximum

• Minimum

What is the domain of all quadratic functions?

• 0 to 1

• 0 to infinity

• Negative infinity to positive infinity

• -1 to 1

What is the axis of symmetry in a quadratic function?

• The line that connects the vertex to the origin

• The line that connects the x-intercepts

• A vertical line that cuts the parabola into two equal parts

• A horizontal line that cuts the parabola into two equal parts

How is the range of a quadratic function that opens upwards determined?

• From the vertex's y-value to negative infinity

• From the vertex's y-value to positive infinity

• From negative infinity to the vertex's y-value

• From 0 to the vertex's y-value

What does a negative 'a' value in the quadratic function's standard form indicate about its graph?

• It does not have a vertex

• It is a straight line

• It opens downwards

• It opens upwards

What are the x-intercepts of a quadratic function also known as?

• Vertices

• Y-intercepts

• Axes of symmetry

• Solutions, roots, or zeros

During which interval is the graph of a quadratic function increasing?

• From the minimum point to 0

• From negative infinity to the vertex

• From the vertex to positive infinity

• From 0 to the maximum point