# parent function with Inverse function

**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

**Quality**

**Communication**

**On Time**

**Value**

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