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**Sketching a Parabola if the x-Intercepts Exist**

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**What do you Need to Sketch a Parabola?**

Can you sketch a parabola if you only know where its y-intercept is? For example, if the y-intercept of a parabola is (0,-15) can you sketch the graph? Why or why not? NO! You can NOT determine whether it opens up or down.

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**What do you Need to Sketch a Parabola?**

Can you sketch a parabola if you only know where its x-intercept are? For example, if the x-intercepts of a parabola are (-3,0) and (5,0) can you sketch the graph? Why or why not? NO! You can NOT determine whether it opens up or down.

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**What do you Need to Sketch a Parabola?**

Can you sketch a parabola if you only know where its x-intercept and y-intercept are? For example, if the x-intercepts of a parabola are (-3,0) and (5,0) and the y-intercept is (0,-15), can you sketch the graph? Why or why not? YES! IMPORTANT: The vertex must lie on the line of symmetry. A third point helps determine whether it opens up or down.

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**Sketching a Quadratics**

Find the y-intercept Sketch: y = 2x2 + 5x – 12 Pay attention to Symmetry 8 Factor to find the x-intercepts -6 6 Draw the Parabola -16

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Graphs of Quadratic Functions Graph the function. Compare the graph with the graph of Example 1.

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