The new function will be y = x² -8, and third option is the correct answer.
What is a function?
It is an expression between an independent variable and dependent variable.
The function given in the question
y=x²
As the graph is shifted horizontally left the function will be given by
y = (x-h)² +k
where k is y intercept
y = (x-0)² -8
y = x² -8
Therefore third option is the correct answer.
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