Describe the transformation of ƒ(x) = 4x which is given by g(x) = 4x − 4.

Question 2 options:

A)
g(x) is translated right 4 units compared to ƒ(x).

B)
g(x) is translated down 4 units compared to ƒ(x).

C)
g(x) is translated up 4 units compared to ƒ(x).

D)
g(x) is translated left 4 units compared to ƒ(x).

Question

08-09-2022
Mathematics

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Describe the transformation of ƒ(x) = 4x which is given by g(x) = 4x − 4.

Question 2 options:

A)
g(x) is translated right 4 units compared to ƒ(x).

B)
g(x) is translated down 4 units compared to ƒ(x).

C)
g(x) is translated up 4 units compared to ƒ(x).

D)
g(x) is translated left 4 units compared to ƒ(x).

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MrRoyal MrRoyal · Answer 1 · 2022-09-09T18:17:11+02:00

The description of the transformation of f(x) = 4x which is given by g(x) = 4x − 4 is (c) g(x) is translated up 4 units compared to ƒ(x).

How to describe the transformation of f(x) = 4x which is given by g(x) = 4x − 4?

The functions are given as:

g(x) = 4x - 4 ---- the pre-image

f(x) = 4x ---- the image

The function g(x) can be transformed as follows

Shift g(x) up by 4 units

This is represented as

f(x) = g(x) + 2

So, we have

f(x) = 4x - 4 + 4

Evaluate

f(x) = 4x

Hence, the description of the transformation of f(x) = 4x which is given by g(x) = 4x − 4 is (c) g(x) is translated up 4 units compared to ƒ(x).