Brainliest 70 Points! Write an equation representing the translation of f(x) = 7x + 3 down 4 units.

The transformation of a function may involve any change. The function, g(x) that represents function f(x) moved 4 units downwards is g(x)=7x-1.

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d
Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)

Given the function f(x)=7x+3, now, if the function is moved down by d units, then the function can be transformed down wards by 4 units as shown below.

g(x) = f(x) moved down by 4 units

g(x) = f(x) - 4

g(x) = 7x + 3 - 4

g(x) = 7x - 1

Hence, the function, g(x) that represents function f(x) moved 4 units downwards is g(x)=7x-1.

Learn more about transforming functions here:

https://brainly.com/question/17006186

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