Understanding Quadratic Functions Concepts

The video tutorial introduces quadratic functions, comparing them with linear functions. It explains the characteristics of quadratic graphs, focusing on the vertex and its role as a turning point. The concept of symmetry in quadratic functions is discussed, highlighting symmetrical points and the axis of symmetry. The tutorial also covers x-intercepts and zeros, explaining how a parabola can have multiple crossing points. The video aims to provide a foundational understanding of quadratic functions and their graphical representations.

What is the parent function of a linear function?

• y = x + 1

• y = x

• y = 2x

• y = x^2

Which of the following best describes the shape of a quadratic function's graph?

• A straight line

• A U-shaped curve

• A zigzag line

• A circle

What is the parent function of a quadratic function?

• y = 2x

• y = x + 1

• y = x^2

• y = x

What is the vertex of a parabola?

• The point where the graph changes direction

• The minimum or maximum point of the parabola

• The point where the graph crosses the y-axis

• The point where the graph crosses the x-axis

What do we call the point at which a parabola changes direction?

• Intercept

• Vertex

• Axis of symmetry

• Focus

What are symmetrical points in a quadratic function?

• Points that are on the y-axis

• Points that are on the x-axis

• Points that have the same y-value

• Points that have the same x-value

What is the axis of symmetry in a quadratic function?

• A line that does not pass through the vertex

• A horizontal line through the vertex

• A vertical line through the vertex

• A diagonal line through the vertex

If a quadratic function has a vertex at (1, -1), what is the equation of its axis of symmetry?

• x = -1

• x = 1

• y = -1

• y = 1

How many x-intercepts can a quadratic function have?

• Always one

• Always two

• One or two, but sometimes none

• None

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

• Vertices

• Symmetrical points

• Zeros

• Axes of symmetry