Advanced MathEasy–MediumEffect of a horizontal shift on a vertex
Advanced Math practice question
The graph of y = (x − 4)² is the graph of y = x² shifted in which way?
- A. 4 units to the rightCorrect
- B. 4 units to the left
- C. 4 units up
- D. 4 units down
Answer: A. 4 units to the right
Replacing x with x − 4 moves the graph 4 units right; the vertex moves from (0, 0) to (4, 0).
Why the other answers are wrong
- B. 4 units to the left
- x + 4 would shift left.
- C. 4 units up
- Adding 4 outside the square shifts up.
- D. 4 units down
- Subtracting 4 outside the square shifts down.
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