The equation is:
[tex]g(x) = (x+6)^3+3[/tex]
Step-by-step explanation:
Given function is:
[tex]f(x) = x^3[/tex]
When a function f(x) is shifted to the left b units, it is written as:
g(x) = f(x+b)
And
When a function is shifted up b units, it is written as:
g(x) = f(x)+b
Here b is a number
So for the given function
Shifting the function 6 units to the left, new function g(x) will be written as:
[tex]g(x) = f(x+6) = (x+6)^3[/tex]
And shifting the function upward 3 units
[tex]g(x) = f(x+6)+3 = f(x+6)^3+3[/tex]
The equation is:
[tex]g(x) = (x+6)^3+3[/tex]
Keywords: Functions, transformation
Learn more about functions at:
- brainly.com/question/10435836
- brainly.com/question/10541435
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