WEBVTT
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Write the quadratic equation represented by the graph shown.
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Let’s highlight some points on this graph.
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The graph goes through the origin zero, zero.
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It crosses at one, one and at negative one, one.
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There’s a point at two, four and negative two, four.
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By this shape, we know that this is a parabola.
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And a parabola is the graph of 𝑦 equals 𝑥 squared.
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This parabola opens upward, which means it’s a positive 𝑥 squared.
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And because the graph goes through the origin, its 𝑦-intercept equals zero.
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Let’s consider those points we looked at earlier.
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When 𝑥 equals one, one squared equals one.
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When 𝑥 equals negative one, negative one squared equals one.
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When 𝑥 equals two, we have two squared, which equals four.
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That’s point two, four.
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When 𝑥 equals negative two, 𝑦 equals four.
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That’s point negative two, four.
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What we’re showing is that this graph is the quadratic equation 𝑦 equals 𝑥 squared.
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No transformations have occurred.
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It hasn’t been shifted up or down.
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It’s simply the graph of 𝑦 equals 𝑥 squared.