1. Fill in the table for each parabola equation. BE CAREFUL! Some information is not given by certain equations! 6 Equation y = 2(x - 5)(x + 9) y=-(x + 2)² +6 y = 4(x+2)(x+8) Zeros Direction of Opening Axis of Symmetry Step Pattern Vertex 2. A cannonball is shot into the air. Its height can be described by the equation h = -3(t-1)(-9) where his height in feet and t is time in seconds. (a) What are the zeroes of this relation? and (b) What do the zeroes mean in this situation? (c) What is the axis of symmetry and what does it represent? Use the axis of symmetry to find the vertex and explain what the vertex means for the cannonball. 3. The equation P = -0.5(n-500)(n-10) describes a company's profit P, based on how many units are sold, n. What are the break-even points of the company, and how many units must be sold to make a maximum profit?
1. Fill in the table for each parabola equation. BE CAREFUL! Some information is not given by certain equations! 6 Equation y = 2(x - 5)(x + 9) y=-(x + 2)² +6 y = 4(x+2)(x+8) Zeros Direction of Opening Axis of Symmetry Step Pattern Vertex 2. A cannonball is shot into the air. Its height can be described by the equation h = -3(t-1)(-9) where his height in feet and t is time in seconds. (a) What are the zeroes of this relation? and (b) What do the zeroes mean in this situation? (c) What is the axis of symmetry and what does it represent? Use the axis of symmetry to find the vertex and explain what the vertex means for the cannonball. 3. The equation P = -0.5(n-500)(n-10) describes a company's profit P, based on how many units are sold, n. What are the break-even points of the company, and how many units must be sold to make a maximum profit?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:Lesson 5: Factored Form of a Quadrade Relation - Practice Questions
1. Fill in the table for each parabola equation. BE CAREFULI Some information is not given by certain
equations!
Equation
y = 2(x - 5)(x + 9)
y -(x + 2) + 6
y = 4(x+2)(x + 8)
Zeros
Direction of
Opening
Axis of Symmetry
Step Pattern
Vertex
2. A cannonball is shot into the air. Its height can be described by the equation h = -3(t – 1)(t - 9) where h is
height in feet and t is time in seconds.
(a)
What are the zeroes of this relation?
and
(b)
What do the zeroes mean in this situation?
What is the axis of symmetry and what does it represent?
(d)
Use the axis of symmetry to find the vertex and explain what the vertex means for the cannonball.
3. The equation P = -0.5(n – 500)(n – 10) describes a company's profit P, bascd on how many units are sold,
n. What are the break-even points of the company, and how many units must be sold to make a maximum
profit?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
