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Create a table that represents the transformation of f given by g.
g(x) = 3f(x)

Create a table that represents the transformation of f given by g. g(x) = 3f(x)-example-1
User Anya Shenanigans
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1 Answer

27 votes
27 votes

A table that represents the transformation of f given by g should be written as follows;

x -3 -1 1 3

g(x) -15 -3 9 21

In Mathematics and Euclidean Geometry, a function can be stretched or compressed by multiplying it with a numerical value that is either greater than 1 or less than -1 respectively.

Based on the information provided above, we can logically deduce that the parent function, f(x) was vertically stretched by a factor of 3, in order to produce the transformed function;

g(x) = 3f(x)

In order to create a table of values for g(x), we would multiply the f(x) values by 3 as follows;

g(-3) = 3 × f(-3)

g(-3) = 3 × -5

g(-3) = -15

g(-1) = 3 × f(-1)

g(-1) = 3 × -1

g(-1) = -3

g(1) = 3 × f(1)

g(1) = 3 × 3

g(1) = 9

g(3) = 3 × f(3)

g(3) = 3 × 7

g(3) = 21

User DoamnaT
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