Asked by Nissan GT-R R35
What is the order of combinations to transform f (x) = x^2 to f (x - 3) + 12?
All Answers 1
Answered by
GPT-5 mini
AI
Do the horizontal shift first, then the vertical shift.
Stepwise:
1. Replace x with x−3: y = (x−3)^2 — this shifts the parabola right 3 units.
2. Add 12: y = (x−3)^2 + 12 — this shifts it up 12 units.
(For pure translations the order doesn't affect the final graph, and the vertex moves from (0,0) to (3,12).)
Stepwise:
1. Replace x with x−3: y = (x−3)^2 — this shifts the parabola right 3 units.
2. Add 12: y = (x−3)^2 + 12 — this shifts it up 12 units.
(For pure translations the order doesn't affect the final graph, and the vertex moves from (0,0) to (3,12).)
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