Understanding Quadratics

The video tutorial covers key features of quadratic functions, including the vertex, zeros, y-intercept, axis of symmetry, domain, and range. It explains how the vertex can be a maximum or minimum point and its relation to the axis of symmetry. The tutorial also discusses how to find zeros or roots, including imaginary roots, and how to identify the y-intercept. Finally, it explains the domain as all real numbers and how to determine the range based on y-values.

Which of the following is NOT a key feature of quadratics?

• Vertex

• Slope

• Y-Intercept

• Axis of Symmetry

What is the vertex of a quadratic function?

• The point where the graph intersects the y-axis

• The highest or lowest point on the graph

• The point where the graph intersects the x-axis

• The midpoint of the graph

How is the axis of symmetry related to the vertex?

• It is the y-coordinate of the vertex

• It is the x-coordinate of the vertex

• It is the slope of the line passing through the vertex

• It is the midpoint between the vertex and the y-intercept

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

What is the axis of symmetry for a quadratic with zeros at 3 and 5?

• x = 3

• x = 4

• x = 8

• x = 5

Tags

CCSS.HSF-IF.C.7A

What are the zeros of a quadratic function?

• The highest point on the graph

• Points where the graph intersects the y-axis

• The lowest point on the graph

• Points where the graph intersects the x-axis

Tags

CCSS.HSA-REI.B.4B

If a quadratic does not intersect the x-axis, what type of roots does it have?

• No roots

• Real roots

• Complex roots

• Imaginary roots

Tags

CCSS.HSF-IF.C.7A

Where does the y-intercept occur on a quadratic graph?

• At the vertex

• At the axis of symmetry

• Where the graph intersects the y-axis

• Where the graph intersects the x-axis

What is the domain of a quadratic function?

• All real numbers

• All positive numbers

• All integers

• All negative numbers

How is the range of a quadratic function determined?

• By the y-values

• By the zeros

• By the slope

• By the x-values

Tags

CCSS.HSF-IF.C.7A

If the vertex of a quadratic is at (0, -16), what is the range?

• y > 0

• y < 0

• y ≤ -16

• y ≥ -16

Tags

CCSS.HSF-IF.C.7A