mple 1: Identify the key features of the following parabola. -Opens - Vertex: - Maximum or Minimum? -Axis of Symmetry: Increasing Decreasing Domain • Range: ample 2: Identify the key features of the following parabola. Opens: • Vertex: . Maximum or Minimum? Axis of Symmetry: Increasing Decreasing • Domain: Range: yt Problem: Identify the key features of the following parabola Opens: • Vertex: • Maximum or Minimum? Axis of Symmetry: Increasing Decreasing Deenain
mple 1: Identify the key features of the following parabola. -Opens - Vertex: - Maximum or Minimum? -Axis of Symmetry: Increasing Decreasing Domain • Range: ample 2: Identify the key features of the following parabola. Opens: • Vertex: . Maximum or Minimum? Axis of Symmetry: Increasing Decreasing • Domain: Range: yt Problem: Identify the key features of the following parabola Opens: • Vertex: • Maximum or Minimum? Axis of Symmetry: Increasing Decreasing Deenain
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Name:
Period
1 Key Features of a Ouadratic Function Notes
Objective: Students will be able to identify key features of the graph of a quadratic fanction
has the form of x}- ax+ bx c OR x)-ax-h+k
All quadratic functions have a U-shaped graph called a
Examples:
Parabolas have either a lew point or a high point.
Opens Up
The low point or high point is called the
The vertex can be a
(low
Opens Down
point) or a
(high point)
When a 0, the parabola opens
When a0, the parabola opens
When 0 ja< 1, the shape of the parabola is
than the parent function
When ja 1, the shape of the parabola is
than the parent function
Parabolas have an imisible line that cuts it in half
This invisible line is called the
The asis of symmetry abways crosses the vertex
Parabolas albo have
and
itervals
The veriex in the tuming poit of the fonction where a changes froem increasing to
decteasng
Transcribed Image Text:Name
Period
Example I: Identify the key features of the following parabola.
Opens
• Vertex:
. Maximum or Minimum?
Axis of Symnetry:
. Increasing
• Decreasing
. Domain
Range:
Example 2: Identify the key features of the following parabola.
Opens:
• Vertex:
. Maximum or Minimum?
Axis of Symmetry:
Increasing:
Decreasing
• Demain:
Range
Try It Problem: Identify the key features of the following parabola.
Opens
Vertex:
Maximum or Minimum?
Axis of Symmetry:
Increasing
Decreasing
Demain:
Range
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