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Answer: Option D
g(x) is shifted 3 units to the left and reflected over the x-axis.
Step-by-step explanation:
If we have a main function
And we perform the transformation:
Then it is fulfilled that:
If the graph of f(x) moves horizontally h units to the left
If the graph of f(x) moves horizontally h units to the right
If we have a main function
And we perform the transformation:
Then it is fulfilled that:
The graph of g(x) is equal to the graph of f(x) reflected on the x axis
In this case we have to:
and
Therefore and
This mean that: g(x) is shifted 3 units to the left and reflected over the x-axis.
keeping in mind that standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient