Quadratic Function - Parent Function and Vertical Shifts

From Jennifer Ledwith

You can also look at a quadratic function in this light:

y = x² + c, x ≠ 0

When you start with the parent function, c = 0. Therefore, the vertex (the highest or lowest point of the function) is located at (0,0).

Quick Translation Rules

1. Add c, and the graph will shift up from the parent c units.
2. Subtract c, and the graph will shift down from the parent c units.

Previous

• Quadratic Function - Parent Function and Vertical Shifts
• Vertical Translations: Upward and Downward
• Example 1: Increase c
• Example 2: Decrease c
• Example 3: Make a Prediction
• Example 3: Answer
• Example 4: What is the Equation of the Green Parabola?
• Example 4: Answer

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