Question

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)=5f(x)
​​B) g(x)=f(5x)
​​C) g(x)=1/5f(x)​​
D) g(x)=f(x/5)

Answer 1

We are given a function f(x).

And function g(x) is the function get after transformation of f(x) a vertical stretch of the graph of function f ​​by a factor of 5.

We know transformation rule when it's a vertical stretch by a given scale factor.

y= k f(x) : f(x) is stretch by a scale factor of k. Where |k| > 0.

So, we need to multiply given function f(x) by given scale factor 5.

So,  g(x) = 5 f(x).

Therefore, correct option is 1st option g(x)=5f(x).

Answer 2

Answer:

The answer is g(x)=5f(x)

Step-by-step explanation:

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