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Chapter 11: Q. 11.34TI (page 1096)

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

Short Answer

Expert verified

The graph is

Step by step solution

01

Given information

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

02

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

Comparing, we get

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

As a=-2, parabola opens to the left

The axis of symmetry isy=-3

03

Calculate the x intercept

Calculating, we get

x=-2(y+3)2+2x=-2(0+3)2+2x=-16

04

Calculate y intercept 

Calculating, we get

x=-2(y+3)2+2-2(y+3)2+2=0-2(y+3)2=-2(y+3)2=1y=-2,-4

05

Sketching the graph

The graph is

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