Translation involves moving a function along its coordinates
The image of the function is [tex]g(x) = (x + 2)^2 - 6[/tex]
The parent function is given as:
[tex]f(x) = x^2[/tex]
When the function is translated 2 units left, we have:
[tex]f'(x) = (x + 2)^2[/tex]
When the function is translated 6 units down, we have:
[tex]f"(x) = (x + 2)^2 - 6[/tex]
Rewrite as:
[tex]g(x) = (x + 2)^2 - 6[/tex]
Hence, the image of the function is [tex]g(x) = (x + 2)^2 - 6[/tex]
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