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Quick Quadrat. functions question?
1. The problem statement, all variables and given/known data
y=-3f(2-x)-2 for the root function...
2. Relevant equations
3. The attempt at a solution
If im given a function like, y=-3f(2-x)-2 for the root function...
Do i factor out the negetive on the x?
Making it.. y=-3f(-(x-2)-2 . making a reflection on both the x/y axis's ? Or is that wrong
1 Answer
- T MLv 610 years agoFavorite Answer
given f(x),
f(x-2) will be the same curve but shifted (translated) to the right two units.
f(-x) will be the same curve but reflected across the y axis
thus it makes sense to factor as you suggest. x-2 translates the curve to the right, the negative then reflects that translated curve across the y axis. the -3 magnifies it by 3 and reflects it about the x-axis, and the final -2 translates all of that to the right.
