The new equation after shifting will be:
[tex]g(x) = (x+5)+3\\g(x) = x + 8[/tex]
Step-by-step explanation:
Function trnafomations upward and left are defined as:
Upward:
f(x) => f(x)+b where b is an integer
Left:
f(x) => f(x+b) where b is an integers
Given function is:
[tex]f(x) = x[/tex]
Shifting the function 5 units left
[tex]g(x) = f(x+5) => x+5\\g(x) = x+5[/tex]
Shifting the function upward 2 units
So,
[tex]g(x) = (x+5)+3\\g(x) = x + 8[/tex]
The new equation after shifting will be:
[tex]g(x) = (x+5)+3\\g(x) = x + 8[/tex]
Keywords: Functions, shifting
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