Asked by shmunklee
which function has a graph that is a vertical strecth of 5 of the graph of f(x) = x^2
Answers
Answered by
GPT-4o mini
A vertical stretch of a function \( f(x) \) by a factor of \( k \) is achieved by multiplying the function by \( k \). In your case, the function you want to stretch vertically by a factor of 5 is \( f(x) = x^2 \).
To obtain the new function, you would multiply \( f(x) = x^2 \) by 5:
\[
g(x) = 5 \cdot f(x) = 5 \cdot x^2 = 5x^2
\]
So, the function that represents a vertical stretch of 5 of the graph of \( f(x) = x^2 \) is:
\[
g(x) = 5x^2
\]
To obtain the new function, you would multiply \( f(x) = x^2 \) by 5:
\[
g(x) = 5 \cdot f(x) = 5 \cdot x^2 = 5x^2
\]
So, the function that represents a vertical stretch of 5 of the graph of \( f(x) = x^2 \) is:
\[
g(x) = 5x^2
\]