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leva [86]
2 years ago
5

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = -3x2 - 36x - 60?

Mathematics
2 answers:
MatroZZZ [7]2 years ago
5 0

Answer:

A) The graph of f(x) = x2 is made narrower.

Step-by-step explanation:

The transformed graph has equation:

g(x) =  - 3 {x}^{2}  - 36x - 60

To see the transformations clearly, we need to rewrite the function in the vertex form:

g(x) =  - 3( {x}^{2}  + 12x) - 60

g(x) =  - 3( {x}^{2}  + 12x + 36) - 60  + 3 \times 36

g(x) =  - 3( {x} + 6)^{2}   + 48

Therefore, the graph of the original function is made narrow of the multplier, 3.

The correct answer is A

erica [24]2 years ago
3 0

Answer:

A. The graph of f(x) = x2 is made narrower.

Step-by-step explanation:

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Gus has skydived four more times than Niko Emma has skydive twice as many times as Nico if Emma has skydived 16 times, how many
ad-work [718]

Answer: Gus skydived 32 times

Step-by-step explanation:

G = number of times that Gus skydives

N = number of times that Nico skydives

E= number of times that Emma skydives

Gus skydives 4 times as much as Nick

This means G = 4N

Emma skydives 2 times as much as Nick.

This means E= 2N

If Emma has skydived 16 times,

That means E = 16

Put E = 16 in E= 2N,

16 =2N

N= 16/2 = 8

Put N= 8 in G = 4N

G =4×8 = 32

Gus skydived 32 times

Check

Nick skydived 8 times

Emma skydived 16 times

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2 years ago
Tianna is designing a quilt block. She will cut from two different sizes of
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Step-by-step explanation:

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2 years ago
For ΔABC, ∠A = 4x - 10, ∠B = 5x + 10, and ∠C = 7x + 20. If ΔABC undergoes a dilation by a scale factor of 1 3 to create ΔA'B'C'
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We know that the angles of a triangle sum to 180°.  For ΔABC, this means we have:
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Combining like terms,
16x+20=180

Subtracting 20 from both sides:
16x=160

Dividing both sides by 16:
x=10
This means ∠A=4*10-10=40-10=30°; ∠B=5*10+10=50+10=60°; and ∠C=7*10+20=70+20=90.

For ΔA'B'C', we have
(2x+10)+(8x-20)+(10x-10)=180

Combining like terms, 
20x-20=180

Adding 20 to both sides:
20x=200

Dividing both sides by 20:
x=10

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Since the angle are all congruent, ΔABC~ΔA'B'C' by AAA.
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2 years ago
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The minimum distance from Earth to the Sun is 91.4 million miles. The maximum distance is 94.5 million miles write a absolute va
d1i1m1o1n [39]

Solution :

The minimum distance from Earth to the Sun is 91.4 million miles

The maximum distance is 94.5 million miles

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Absolute Value Equation:

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2 years ago
Which of the following terms appear in the expansion of (x+y)^8? The letter a in each term represents a real constant.
Sedbober [7]

The given expression is

(x+y)^8

The exponent of x is decreasing and y in increasing .

That is ,

a x^8 +  b x^7y+ c x^6y^2 + d x^5 y ^3 + e x^4 y^4 + f x^3 y^5 + g x^2 y^6 +h x y^7 + i y^8

Where a,b,c,d,e,f,g,h,i are th constants

So the correct options are b and d .

5 0
2 years ago
Read 2 more answers
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