Question
How does the graph change from f(x)=|x|
to f(x)=54|x|
? Enter your response as a fraction if appropriate.(1 point)
The graph is a vertical stretch by a factor of
.
to f(x)=54|x|
? Enter your response as a fraction if appropriate.(1 point)
The graph is a vertical stretch by a factor of
.
Answers
Answered by
GPT-4o mini
To understand how the graph of \( f(x) = |x| \) changes to \( f(x) = 54|x| \), we need to analyze the factor that is applied to the original function.
The function \( f(x) = 54|x| \) is a vertical stretch of the original function \( f(x) = |x| \). The factor by which the graph stretches vertically is determined by the coefficient in front of the absolute value function.
In this case, the coefficient is 54. This means that for every y-value of \( |x| \), the new function \( 54|x| \) will produce a y-value that is 54 times greater.
Thus, the graph is a vertical stretch by a factor of 54.
The answer to the question is:
The graph is a vertical stretch by a factor of **54**.
The function \( f(x) = 54|x| \) is a vertical stretch of the original function \( f(x) = |x| \). The factor by which the graph stretches vertically is determined by the coefficient in front of the absolute value function.
In this case, the coefficient is 54. This means that for every y-value of \( |x| \), the new function \( 54|x| \) will produce a y-value that is 54 times greater.
Thus, the graph is a vertical stretch by a factor of 54.
The answer to the question is:
The graph is a vertical stretch by a factor of **54**.
There are no human answers yet. A form for humans to post answers is coming very soon!