Question 1 (a) The graph of the quadratic function, f(x)= 2(x+3h)² + 2k +5 is symmetrical about the line x= 6 and is located completely above the x- axis. (i) Find the value of h and the range for the values of k. (ii) Given that k = -1, sketch the graph of y f(x) showing clearly the vertex and the axis intercept(s).

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 67E
icon
Related questions
Question
Question 1
The graph of the quadratic function, f(x)= 2(x+3h)² + 2k +5 is symmetrical about the
line x =6 and is located completely above the x-axis.
(a)
(i)
Find the value of h and the range for the values of k.
(ii) Given that k = -1, sketch the graph of y= f(x) showing clearly the vertex and the
axis intercept(s).
Transcribed Image Text:Question 1 The graph of the quadratic function, f(x)= 2(x+3h)² + 2k +5 is symmetrical about the line x =6 and is located completely above the x-axis. (a) (i) Find the value of h and the range for the values of k. (ii) Given that k = -1, sketch the graph of y= f(x) showing clearly the vertex and the axis intercept(s).
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning