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)

Question

Mathematics

Kallie Figueroa

24 February, 20:53

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)

+1

Answers (2)

Know the Answer?

Leonardo Curtis · Answer 1

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).

Nikolai Chaney · Answer 2

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

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)

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)

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)