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Vertical Shift Calculator
Apply a vertical shift to a quadratic function and see how the vertex and intercept move.
chart Free Online Tool
⚡ Instant Results
📊 Clear Comparison
🔒 100% Free Tool
Shifted function
Compare Your Options And Get Clear Answers
Apply a vertical shift to a quadratic function and see how the vertex and intercept move.
Vertical Shift Estimator
Enter your numbers below for an instant estimate.
0
💡 Tip: y = f(x) + k moves the graph up k units (down if k is negative).
How It Works
Key concepts behind this calculator
1
Enter Values
Fill in each field with your own numbers.
2
Calculate
Results update as you change the inputs.
3
Review
Read the breakdown and the explanation.
4
Adjust
Change values to compare scenarios.
Quick Reference Guide
Vertical Quick Guide
Typical values for reference.
| Function | Shift | Old vertex | New vertex |
|---|---|---|---|
| 1x² + 0x + 0 | k = 3 | (0.0, 0.0) | (0.0, 3.0) |
| 1x² + 0x + 2 | k = 3 | (0.0, 2.0) | (0.0, 5.0) |
| -1x² + 4x + 1 | k = 3 | (2.0, 5.0) | (2.0, 8.0) |
| 2x² + -4x + 3 | k = 3 | (1.0, 1.0) | (1.0, 4.0) |
| Rule of Thumb | Check inputs | Use as a guide | Round sensibly |
Common Questions
Vertical Shift Calculator FAQ
Answers to common questions about this calculator.
Moving a graph up or down by adding a constant.
No.
Moves the graph down.
No, only the position.