28 lines
1.2 KiB
Markdown
28 lines
1.2 KiB
Markdown
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---
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title: Graphing Quadratics Vertex Form
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---
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## Graphing Quadratics Vertex Form
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Vertex form of a parabola's equation:
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<img src="https://github.com/codersc/freeCodeCamp-article-images/blob/master/art3img1.png?raw=true" alt="Formula showing y equals a times (x minus h)-squared plus k">
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The point (h, k) is the vertex. When a is positive the parabola opens upwards.
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<img src="https://github.com/codersc/freeCodeCamp-article-images/blob/master/art3img2.png?raw=true" alt="Parabola (u-shaped graph) with the lowest point (the vertex) marked with (h, k)">
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When a is negative the parabola opens downwards.
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<img src="https://github.com/codersc/freeCodeCamp-article-images/blob/master/art3img4.png?raw=true" alt="Upside-down parabola (u-shaped graph) with the highest point (the vertex) marked with (h, k)">
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When |a| < 1 the parabola is compressed vertically.
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<img src="https://github.com/codersc/freeCodeCamp-article-images/blob/master/art3img5.png?raw=true" alt="Wider version of a parabola (u-shaped graph)">
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When |a| > 1 the parabola becomes narrower.
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<img src="https://github.com/codersc/freeCodeCamp-article-images/blob/master/art3img6.png?raw=true" alt="Narrower version of a parabola (u-shaped graph)">
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