Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
X -2 -1 0 1 2 y 1st differences 2nd differ ces Concave up or down? Location of vertex (______).

X -2 -1 0 1 2 y 1st differences 2nd differ ces Concave up or down? Location of vertex (______).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
Lesson 14 2. *27012 X -2 -1 XTTO-2 y=x²-4 (a = 1, b = 0, c = -4) 1st differences -1 0 7 y Concave up or down? Location of vertex 3. y=x²+2x+3 (a = 1, b = 2, c = 3) 1 of 8 y 1st differences + Automatic Zoom 2nd differences 2nd differences Concave up or down? Location of vertex ( _____).
Transcribed Image Text:Lesson 14 2. *27012 X -2 -1 XTTO-2 y=x²-4 (a = 1, b = 0, c = -4) 1st differences -1 0 7 y Concave up or down? Location of vertex 3. y=x²+2x+3 (a = 1, b = 2, c = 3) 1 of 8 y 1st differences + Automatic Zoom 2nd differences 2nd differences Concave up or down? Location of vertex ( _____).
1. Use the following equations to create a table of values (sub each x value into the equation to find the y value), calculate first and second differences, state vertex and direction of concave. Check each graph on desmos. y=-x² +1 (a = -1, b = 0, c = 1) X -2 -1 0 1 2 of 8 y + Automatic Zoom 1st differences 2nd differences This graph is described as concave down because it opens downward and ha a Vertex at (0,1). Since the parabola is concave down, the maximum value of the curve is found at the vertex. The maximum value is the y-value at the vertex.
Transcribed Image Text:1. Use the following equations to create a table of values (sub each x value into the equation to find the y value), calculate first and second differences, state vertex and direction of concave. Check each graph on desmos. y=-x² +1 (a = -1, b = 0, c = 1) X -2 -1 0 1 2 of 8 y + Automatic Zoom 1st differences 2nd differences This graph is described as concave down because it opens downward and ha a Vertex at (0,1). Since the parabola is concave down, the maximum value of the curve is found at the vertex. The maximum value is the y-value at the vertex.
Expert Solution
steps

Step by step

Solved in 3 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS