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Chapter 11: Q 11.31TI (page 1069)

Graph x=3(y-1)2+2using properties.

Short Answer

Expert verified

The graph is

Step by step solution

01

Given information

Given the functionx=3(y-1)2+2

02

Identify the constants a,h,k and the other parameters

Comparing, we get

x=3(y-1)2+2a=3(h,k)=(2,1)

As a=3, parabola opens to the right

03

Calculate the x intercepts

Substituting y=0, we get

role="math" localid="1645190065504" x=3(y-1)2+2x=3(0-1)2+2x=5

04

Calculate y intercept

Calculating, we get

x=3(y-1)2+23(y-1)2+2=03(y-1)2=-2(y-1)2=-23

Square can't be negative so there will no yintercepts

A symmetrical point is(5,2)

05

Sketching of graph

The graph is

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