Q4. (a) Let f(x) = 1 - 4x - 5x². (i) Express f(x) in the form p-q(x+r)2, hence or otherwise determine the turning point of f(x). (ii) Sketch the graph of f(x) = 1 - 4x - 5x² showing all the intercepts and turning point.
Q4. (a) Let f(x) = 1 - 4x - 5x². (i) Express f(x) in the form p-q(x+r)2, hence or otherwise determine the turning point of f(x). (ii) Sketch the graph of f(x) = 1 - 4x - 5x² showing all the intercepts and turning point.
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.4: More Quadratic Functions And Applications
Problem 55PS
Related questions
Question
![Q4. (a) Let f(x) = 1 − 4x − 5x².
(i) Express f(x) in the form p-q(x+r)², hence or otherwise determine the turning point
of f(x).
(ii) Sketch the graph of f(x) = 1 - 4x - 5x² showing all the intercepts and turning point.
(b) (i) Simplify √28 - √175
(ii) Solve the equation 12 cos² 0 + sin 0 = 11 in the domain 0° ≤ 0 ≤ 360°.
3x²
(iii) Let g be a function defined by g(x) =
=
Find g'(x).
x³+2x-8"
3
(c) (i) Express [(XnY)ªu (X− Y)] in its simplest form.
(ii) Solve the equation x² + x³ − 21x²-x+ 20 = 0.
(d) Sketch the graph of the function f(x) = |3x+1| +2, showing clearly the point at which the
graph cuts the y-axis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc09fccc6-22f7-48cd-9f82-59fcef964947%2F0ce3b608-ede0-4b1c-a821-df73aaabefdd%2F02n1z98_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q4. (a) Let f(x) = 1 − 4x − 5x².
(i) Express f(x) in the form p-q(x+r)², hence or otherwise determine the turning point
of f(x).
(ii) Sketch the graph of f(x) = 1 - 4x - 5x² showing all the intercepts and turning point.
(b) (i) Simplify √28 - √175
(ii) Solve the equation 12 cos² 0 + sin 0 = 11 in the domain 0° ≤ 0 ≤ 360°.
3x²
(iii) Let g be a function defined by g(x) =
=
Find g'(x).
x³+2x-8"
3
(c) (i) Express [(XnY)ªu (X− Y)] in its simplest form.
(ii) Solve the equation x² + x³ − 21x²-x+ 20 = 0.
(d) Sketch the graph of the function f(x) = |3x+1| +2, showing clearly the point at which the
graph cuts the y-axis.
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 2 steps with 2 images
Recommended textbooks for you
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
