Question

Explain the equation transformation(s) from the parent function to y=−3f(x)+5

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Answer 1

[AI-generated answer — Bot GPT 3.5]

The parent function is y = f(x). To transform this function to y = -3f(x) + 5, we need to make two transformations:

1. Horizontal Stretch: The coefficient of f(x) is -3, which means the function is stretched horizontally by a factor of 3. This means that the function is narrower compared to the parent function.

2. Vertical Shift: The constant term added to the function is 5, which means the entire function is shifted vertically upwards by 5 units.

Therefore, the function y = -3f(x) + 5 is a horizontally stretched and vertically shifted version of the parent function y = f(x).