The parent function was shifted 4 unit left and 7 units down to get the given function
Step-by-step explanation:
Given function is:
f(x) = (x+4)^3- 7
and the parent function is
f(x) = x^3
We will take the parent function and transform it
so
If a function f(x) is converted inot f(x+a) where a is an ineteger, the function is shifted a units to the left
If we shift our parent function to 4 units left, then
[tex]f(x) = (x+4)^3[/tex]
now if any integer b is added to a function, it is shifted down
If we have to shift our function 7 units down, it will be:
[tex]f(x) = (x+4)^3 - 7[/tex]
Hence
The parent function was shifted 4 unit left and 7 units down to get the given function
Keywords: Functions, Transformation
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