Advanced MathEasy–MediumDescribing a horizontal shift of a parabola
Advanced Math practice question
In the xy-plane, how is the graph of y = (x − 3)² related to the graph of y = x²?
- A. It is shifted 3 units to the right.Correct
- B. It is shifted 3 units to the left.
- C. It is shifted 3 units up.
- D. It is shifted 3 units down.
Answer: A. It is shifted 3 units to the right.
Replacing x with x − 3 moves the graph right by 3; the vertex moves from (0, 0) to (3, 0).
Why the other answers are wrong
- B. It is shifted 3 units to the left.
- x + 3 would shift it left.
- C. It is shifted 3 units up.
- Adding 3 outside the square would shift it up.
- D. It is shifted 3 units down.
- Subtracting 3 outside the square would shift it down.
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For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
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