parent function with Inverse function

Oct 28th, 2014
KateS
Category:
Algebra
Price: $10 USD

Question description

1. Now consider the parent function P(x) = x2, and let g(x) = 4(x-1)2 + 8.

(A) Explain step-by-step, graphing/labeling (on graph paper!) the parent, each intermediate function, if we do transformations in these two orders: (You will have to figure out the exact transformations in each case.)

   (i)Horizontal shift then vertical stretch then vertical shift;  (ii)Horizontal shift then vertical shift then  vertical stretch.

(B) (i) Explain how you can cut the domain of our g(x) so that at least part of it has an inverse function (I.e. passes the horizontal line test).

  (ii) Now find the equation of the INVERSE function of our g(x).


Tutor Answer

(Top Tutor) Daniel C.
(997)
School: UC Berkeley
PREMIUM TUTOR

Studypool has helped 1,244,100 students

8 Reviews


Summary
Quality
Communication
On Time
Value
Five Star Tutor
Dec 6th, 2016
" Outstanding Job!!!! "
SjSurvivor143
Nov 20th, 2016
" Thanks for the help. "
Joemoe
Nov 7th, 2016
" <3 it, thanks for saving me time. "
tinytim47
Oct 29th, 2016
" Wow this is really good.... didn't expect it. Sweet!!!! "
pmallory
Oct 24th, 2016
" Totally impressed with results!! :-) "
mixedballz
Oct 15th, 2016
" excellent work as always thanks for the help "
kiln82
Oct 2nd, 2016
" awesome work thanks "
darnay
Sep 23rd, 2016
" The best tutor out there!!!! "
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1826 tutors are online

Brown University





1271 Tutors

California Institute of Technology




2131 Tutors

Carnegie Mellon University




982 Tutors

Columbia University





1256 Tutors

Dartmouth University





2113 Tutors

Emory University





2279 Tutors

Harvard University





599 Tutors

Massachusetts Institute of Technology



2319 Tutors

New York University





1645 Tutors

Notre Dam University





1911 Tutors

Oklahoma University





2122 Tutors

Pennsylvania State University





932 Tutors

Princeton University





1211 Tutors

Stanford University





983 Tutors

University of California





1282 Tutors

Oxford University





123 Tutors

Yale University





2325 Tutors