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Sketching a Parabola if the x- Intercepts Exist. What do you Need to Sketch a Parabola? Can you sketch a parabola if you only know where its y- intercept.

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Presentation on theme: "Sketching a Parabola if the x- Intercepts Exist. What do you Need to Sketch a Parabola? Can you sketch a parabola if you only know where its y- intercept."— Presentation transcript:

1 Sketching a Parabola if the x- Intercepts Exist

2 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.

3 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.

4 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.

5 Sketching a Quadratics Sketch: y = 2x 2 + 5x – 12 Find the y-intercept Factor to find the x-intercepts Pay attention to Symmetry Draw the Parabola


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