SAT : asked on joyceandtrey2781
 21.09.2021

The graph of f(x) is shown. Which graph represents g(x)=f(2x).

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09.07.2023, solved by verified expert
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The function g(x) is equal to f(2x). The correct match of the graph for function g(x) is the curve of option A.
The graph of f(x) is shown. Which graph represents, №18009387, 21.09.2021 11:22
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Mathematics
Step-by-step answer
P Answered by PhD
A because its twice bigger than the real one
SAT
Step-by-step answer
P Answered by Master
The function g(x) is equal to f(2x). The correct match of the graph for function g(x) is the curve of option A.
The graph of f(x) is shown. Which graph represents g(x)=f(2x).
Mathematics
Step-by-step answer
P Answered by Specialist
The bottom right. Since it is 2x, only the x is affected. Each x coordinate is doubled and the y coordinates stay the same. Hope this helps.
Mathematics
Step-by-step answer
P Answered by PhD
A because its twice bigger than the real one
Mathematics
Step-by-step answer
P Answered by PhD

D) The graph of g would be narrower.

Step-by-step explanation:

f(x)=x^{2}

g(x)=f(2x)=(2x)^{2}=(2)^{2} \cdot (x)^{2}=4x^{2}

You have to make a rough graph to check the results of transformation. For that graph of both x^{2} and 4x^{2} is attached with the answer.

For thinking like that, just see that in the 4x^{2} as compared to x^{2}, you are multiplying each value by 4, it means you are increasing each the value so every point should move up by a factor of 4. But one point is fixed which is the bottom point as its value is zero initially and after multiplying it by 4 it won't change as 0×4=0. So graph will become narrow


The graph of the function f(x) = x2 is shown. compared to this, how would the graph of a function g
Mathematics
Step-by-step answer
P Answered by Specialist
The graph would be shrunk by a factor of 4.

Replacing x with 2x, we would have f(2x) = 4x².  The value of a, 4, tells us it will be either a stretch or a shrink; if a>1, it is a shrink; if a<1, it is a stretch.
Mathematics
Step-by-step answer
P Answered by PhD

D) The graph of g would be narrower.

Step-by-step explanation:

f(x)=x^{2}

g(x)=f(2x)=(2x)^{2}=(2)^{2} \cdot (x)^{2}=4x^{2}

You have to make a rough graph to check the results of transformation. For that graph of both x^{2} and 4x^{2} is attached with the answer.

For thinking like that, just see that in the 4x^{2} as compared to x^{2}, you are multiplying each value by 4, it means you are increasing each the value so every point should move up by a factor of 4. But one point is fixed which is the bottom point as its value is zero initially and after multiplying it by 4 it won't change as 0×4=0. So graph will become narrow


The graph of the function f(x) = x2 is shown. compared to this, how would the graph of a function g
Mathematics
Step-by-step answer
P Answered by Specialist
The graph would be shrunk by a factor of 4.

Replacing x with 2x, we would have f(2x) = 4x².  The value of a, 4, tells us it will be either a stretch or a shrink; if a>1, it is a shrink; if a<1, it is a stretch.
SAT
Step-by-step answer
P Answered by PhD
The graph tells us that Ralph's performance has gradually been getting worse, Jill's performance has been improving over time, Tina has overall been stable and good in her performance, that Ed's performance has been erratic and that Sam's performance has been inconsistent but improving.

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