APPLICATIONS 4. Consider the system of equations shown below consisting of one linear and one quadratic equation. y = 4x – 5 and y=2x² – 5x –10 (a) Find the intersection points of this system algebraically. (b) Using your calculator, sketch a graph of this system to the right. Be sure to label the curves with equations, the intersection points, and the window. (c) Use the INTERSECT command on your calculator to verify the results you found in part (a).

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question
Work on it
APPLICATIONS
4. Consider the system of equations shown below consisting of one linear and one quadratic equation.
y = 4x – 5 and y=2x² – 5x –10
(a) Find the intersection points of this system algebraically.
(b) Using your calculator, sketch a graph of this system to
the right. Be sure to label the curves with equations,
the intersection points, and the window.
(c) Use the INTERSECT command on your calculator to verify the results you found in part (a).
5. Algebraically, find the zeroes (x-intercepts) of each quadratic function given below.
(a) y = x² – 81
(b) y =12x² –18x
(c) y = 2x² – 6x -8
REASONING
6. A quadratic function of the form y = x +bx +c is shown graphed.
(a) What are the x-intercepts of this parabola?
(b) Based on your answer to part (a), write the equation of this
quadratic function first in factored form and then in trinomial form.
Transcribed Image Text:APPLICATIONS 4. Consider the system of equations shown below consisting of one linear and one quadratic equation. y = 4x – 5 and y=2x² – 5x –10 (a) Find the intersection points of this system algebraically. (b) Using your calculator, sketch a graph of this system to the right. Be sure to label the curves with equations, the intersection points, and the window. (c) Use the INTERSECT command on your calculator to verify the results you found in part (a). 5. Algebraically, find the zeroes (x-intercepts) of each quadratic function given below. (a) y = x² – 81 (b) y =12x² –18x (c) y = 2x² – 6x -8 REASONING 6. A quadratic function of the form y = x +bx +c is shown graphed. (a) What are the x-intercepts of this parabola? (b) Based on your answer to part (a), write the equation of this quadratic function first in factored form and then in trinomial form.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education