Transformation from f(x) = x² to k(x) = (x – 2)² – 5 Start with the parent function. Follow the point (–3,9) on the parent function f (x) throughout the two transformations to k(x). (a) First transformation: (i) Write the equation of the transformation & describe it briefly. (ii) What are the coordinates of the point (-3,9) after this transformation? (b) Second transformation: (i) Write the equation of the transformation (ii) What are the coordinates of the point (–3,9) on the parent function after this second transformation?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
icon
Related questions
Topic Video
Question

pre calculus

Transformation from f(x) = x² to k(x) = (x – 2)2 – 5
Start with the parent function. Follow the point (-3,9) on the parent function f (x)
throughout the two transformations to k(x).
(a) First transformation:
(i)
Write the equation of the transformation & describe it briefly.
(ii)
What are the coordinates of the point (-3,9) after this transformation?
(b) Second transformation:
(i)
Write the equation of the transformation
(ii)
What are the coordinates of the point (-3,9) on the parent function after this
second transformation?
Transcribed Image Text:Transformation from f(x) = x² to k(x) = (x – 2)2 – 5 Start with the parent function. Follow the point (-3,9) on the parent function f (x) throughout the two transformations to k(x). (a) First transformation: (i) Write the equation of the transformation & describe it briefly. (ii) What are the coordinates of the point (-3,9) after this transformation? (b) Second transformation: (i) Write the equation of the transformation (ii) What are the coordinates of the point (-3,9) on the parent function after this second transformation?
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Propositional Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning