Consider this function. F(x) = 5x How is function f transformed to create function g? Match each transformation of function f with its description. Vertical compression of a factor of arrowRight horizontal stretch of a factor of 3 arrowRight horizontal compression of a factor of arrowRight vertical stretch of a factor of 3 arrowRight

----- vertically stretched by 3

----- vertically compressed by 1/3

----- horizontally stretched by 3

----- horizontally compressed by 3

Step-by-step explanation:

Given

Required

Match each expression of g(x) to the appropriate transformation

When a function is stretched vertically, the transformation rule is:

implies that:

Hence:

----- vertically stretched by 3

When a function is compressed vertically, the transformation rule is:

implies that:

Hence:

----- vertically compressed by 1/3

When a function is stretched horizontally, the transformation rule is:

implies that:

Hence:

----- horizontally stretched by 3

When a function is horizontally vertically, the transformation rule is:

implies that:

Hence:

----- horizontally compressed by 3

step-by-step explanation:

your mom

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3