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The graph of function g is a vertical stretch of the graph of function f ​​by a factor of 5. Which equation describes function g?

a​. g(x)=15f(x) ​​
b. g(x)=f(x5)
c​​. g(x)=f(5x)
d. g(x)=5f(x)

User Scott
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2 Answers

4 votes

Answer:

d. g(x)=5f(x)

Step-by-step explanation:

A stretch of the graph of a function is like a little piece of that function that is located in the graph similarly to the other graph, and it says that it is a factor of 5, that means that the graph is being multiplied by 5, so from the options you can search for options where the f(x) is being multiplied by 5 is the last one, d. g(x)=5f(x) .

User MrSpt
by
5.5k points
5 votes

Answer:

d. g(x) = 5f(x)

Step-by-step explanation:

When a function is stretched vertically, every function value is multiplied by the stretch factor. Here that factor is 5. Multiplying f(x) by 5 gives ...

... g(x) = 5f(x)

User Bitcodr
by
5.0k points