Describe the transformation of f represented by g

Question

Describe the transformation of f represented by g. f(x)=x^3; g(x)=13x^3−4

Answer 1

In general, say you have function f(x) and have the following transformations:

a*f(x - b) + d

a = vertical stretch / compression

b = horizontal shift

d = vertical shift

In this problem, f(x) is multiplied by 13 and subtracted by 4.

g(x) = 13x³ - 4 = 13*f(x) - 4

By multiplying f(x) by 13, you are stretching the graph by a factor of 13. By subtracting 4, you are shifting the graph down 4 units.

Answer 2

It is squeezed by a factor of 13 and lowered by 4

Answer 3

The coefficient of 13 in front of the x^3 is a vertical stretch of 13. The -4 constant at the end will be a shift down by 4.