# Sketching a Parabola if the x-Intercepts Exist

## Presentation on theme: "Sketching a Parabola if the x-Intercepts Exist"— Presentation transcript:

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 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.

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.

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.