The function m(x) is the function f(x) =3(x-5)^2+5 transformation by horizontal shift 4 units left and vertical shift of 3 units up

The value of m(x)= 3(x - 1)² + 8.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given function:

f(x) =3(x-5)² + 5

From the function we have vertex: (5, 5)

Then the translation for both axis will be

x = 5 - 4

x= 1

and, y = 5 + 3

y = 8

So, the new vertex will be (1, 8).

Hence, the m(x)= 3(x - 1)² + 8.

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