Analyzing Quadratic Functions Concepts

The video tutorial focuses on writing intervals of increase and decrease for quadratic functions. It begins with an introduction to the topic, followed by two examples. In each example, the vertex and axis of symmetry are identified. The concept of intervals of increase and decrease is explained using a roller coaster analogy, demonstrating how the function behaves on either side of the axis of symmetry. The tutorial provides a clear understanding of how to determine these intervals for different quadratic functions.

What is the main focus of the video tutorial?

• How to solve quadratic equations

• How to graph linear functions

• How to write intervals of increase and decrease for quadratic functions

• How to find the roots of a polynomial

What is the first step in analyzing a quadratic function?

• Finding the y-intercept

• Identifying the vertex and axis of symmetry

• Calculating the slope

• Determining the domain

What is the vertex of the first example discussed?

• (-4, 2)

• (1, 3)

• (0, 0)

• (3, 1)

What happens to the graph on the left side of the axis of symmetry?

• It remains constant

• It oscillates

• It decreases to negative infinity

• It increases to positive infinity

What is the behavior of the graph on the right side of the axis of symmetry?

• It increases to positive infinity

• It forms a loop

• It decreases to negative infinity

• It remains constant

In the roller coaster analogy, what does moving down to the vertex represent?

• A stationary point

• A decreasing interval

• A constant interval

• An increasing interval

In the roller coaster analogy, what does moving up from the vertex represent?

• An increasing interval

• A constant interval

• A stationary point

• A decreasing interval

How is the interval of increase written?

• From negative infinity to the vertex

• From the vertex to positive infinity

• From zero to the vertex

• From the vertex to zero

How is the interval of decrease written?

• From negative infinity to the vertex

• From the vertex to positive infinity

• From zero to the vertex

• From the vertex to zero

What is the vertex in the second example?

• (1, 3)

• (3, 1)

• (-4, 2)

• (0, 0)