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Chapter 11: Q 11.33TI (page 1096)

Graphx=-4(y+2)2+4 using properties.

Short Answer

Expert verified

The graph is

Step by step solution

01

Given information

Given the functionx=-4(y+2)2+4

02

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

Comparing, we get

x=-4(y+2)2+4a=-4(h,k)=(4,-2)

As a=-4, parabola opens to the left

The axis of symmetry isy=-2

03

Calculate the x intercept

Calculating, we get

x=-4(y+2)2+4x=-4(0+2)2+4x=-12

04

Calculating the y intercept

Calculating, we get

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

05

Sketching the graph

The graph is

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