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Mariana [72]
3 years ago
14

Suppose f(x) = x^2 and

Mathematics
1 answer:
SpyIntel [72]3 years ago
5 0

Given:

The two functions are:

f(x)=x^2

g(x)=\left(\dfrac{1}{3}x\right)^2

To find:

The statement that best compares the graph of g(x) with the graph of f(x).

Solution:

The horizontal stretch is defined as:

g(x)=f(kx)            ...(i)

If 0, the function f(x) is horizontally stretched by factor \dfrac{1}{k}.

If k>1, the function f(x) is horizontally compressed by factor \dfrac{1}{k}.

We have,

f(x)=x^2

g(x)=\left(\dfrac{1}{3}x\right)^2

Using these functions, we get

g(x)=f\left(\dfrac{1}{3}x\right)         ...(ii)

On comparing (i) and (ii), we get

k=\dfrac{1}{3}

Since 0, the function f(x) is horizontally stretched by factor \dfrac{1}{\frac{1}{3}}=3.

Hence, the correct option is D.

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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​Which values are solutions to the inequality? ​ ​5r≤6r−8​ ​ Select each correct answer. r = 7 r = 8 r = 9 r = 10
Ratling [72]

Answer:

r = 8,9,10

Step-by-step explanation:

The given inequality is :

​5r≤6r−8​  ...(1)

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Subtracting 5r to both sides of the inequality .

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8 0
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Read 2 more answers
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