Graph y = x²

xy = x²
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1. Vertical Translation

y = x² + k

If k > 0, y = x² moves upward k units.

If k < 0, y = x² moves down k units.

The vertex of the parabola is: (0, k).

The axis of symmetry is: x = 0.

y = x² + 2 y = x² − 2

2. Horizontal Translation

y = (x + h)²

If h > 0, y = x² is shifted to the left h units.

If h < 0, y = x² is shifted to the right h units.

The vertex of the parabola is: (−h, 0).

The axis of symmetry is: x = −h.

y = (x + 2)²y = (x − 2)²

3. Oblique Translation

y = (x + h)² + k

The vertex of the parabola is: (−h, k).

The axis of symmetry is: x = −h.

y = (x − 2)² + 2 y = (x + 2)² − 2

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Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.

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