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nadezda [96]
2 years ago
5

I WILL GIVE BRAINLYEST

Mathematics
1 answer:
motikmotik2 years ago
6 0

Answer:

D

Step-by-step explanation:

A coordinate grid is shown from negative 5 to 0 to 5 on both x- and y-axes. A polygon ABCD has A at ordered pair (2, 3), B at ordered pair (4, 4), C at ordered pair (3, 1), D at ordered pair (2, 1). A polygon A'B'C'D' has A' at ordered pair (-1, 3), B' at ordered pair (-3, 4), C' at ordered pair (-2, 1), D' at ordered pair (-1, 1).

Which of the following sequences of transformations is used to obtain figure A'B'C'D' from figure ABCD? (1 point)

a ) Counterclockwise rotation by 90 degrees about the origin followed by a translation to the right by 1 unit

b) Counterclockwise rotation by 90 degrees about the origin followed by a translation to the left by 1 unit

c ) Reflection about the x-axis followed by a translation to the left by 1 unit

d ) Reflection about the y-axis followed by a translation to the right by 1 unit

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SpyIntel [72]

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.

5 0
2 years ago
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Answer:

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