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3 years ago

Which phrase best describes the translation from the graph y = (x - 5)2 + 7 to the graph of y = (x + 1)2 – 2?

Mathematics

2 answers:

Orlov [11]3 years ago

8 0

Answer:

6 left 9 down

Step-by-step explanation:

Edg 2020

zloy xaker [14]3 years ago

7 0

Answer:

6 units left and 9 units down

Step-by-step explanation:

we have that

$y=(x-5)^{2} +7$

This is a vertical parabola open upward

The vertex is the point (5,7)

$y=(x+1)^{2} -2$

This is a vertical parabola open upward

The vertex is the point (-1,-2)

The transformation of

(5,7) ------> (-1,-2)

has the following rule

(x,y) -----> (x-6,y-9)

That means ----> The translation is 6 units at left and 9 units down

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In the adjoining figure, XY = XZ . YQ and ZP are the bisectors of <img src="https://tex.z-dn.net/?f=%20%5Cangle" id="TexFormula1

svetlana [45]

Answer:

See Below.

Step-by-step explanation:

Statements: Reasons:

$1)\, XY=XZ$ Given

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$\displaystyle 3) \text{ $m\angle Y=m\angle XYQ + \angle QYZ$}$ Angle Addition

$\displaystyle 4)\text{ $YQ$ bisects $\angle XYZ$}$ Given

$5) \text{ $m\angle XYQ=m\angle QYZ$}$ Definition of Bisector

$\displaystyle 6)\text{ $m\angle Y=2m\angle QYZ$}$ Substitution

$7)\text{ $m\angle Z=m\angle XZP+m\angle PZY$}$ Angle Addition

$8)\text{ $ZP$ bisects $\angle XZY$}$ Given

$\displaystyle 9) \text{ $m\angle XZP=m\angle PZY$ }$ Definition of Bisector

$\displaystyle 10) \text{ $ m\angle Z = 2m\angle PZY $}$ Substitution

$11)\text{ } 2m\angle QYZ=2m\angle PZY$ Substitution

$12)\text{ }m\angle QYZ=m\angle PZY$ Division Property of Equality

$13)\text{ } YZ=YZ$ Reflexive Property

$14)\text{ } \Delta YZP\cong\Delta ZYQ$ Angle-Side-Angle Congruence*

$15)\text{ } YQ=ZP$ CPCTC

*For clarification:

∠Y = ∠Z

YZ = YZ (or ZY)

∠PZY = ∠QYZ

So, Angle-Side-Angle Congruence:

ΔYZP is congruent to ΔZYQ

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3 years ago

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zhannawk [14.2K]

Answer:

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Step-by-step explanation:

√27 =

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3 years ago

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astraxan [27]

Answer:

B.0.31

Step-by-step explanation:

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Step-by-step explanation:

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sesenic [268]

Answer:

Step-by-step explanation:

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