GRAPHING PARABOLAS This presentation is modified from a HyperStudio presentation. Annette Williams MTSU.

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Presentation transcript:

GRAPHING PARABOLAS This presentation is modified from a HyperStudio presentation. Annette Williams MTSU

Another form of the equation for a parabola is : In this form, (h, k) is the vertex of the parabola. For example, in the equation (4, –5) is the vertex. Notice that to write h the sign in front of it in the formula changes, but on k it does not.

Write the vertex for each equation. Vertex is: (–6, –7) Vertex is:(–2, –6) Vertex is:(8, 1)

Parabola in the form f(x) = a(x - h) 2 + k If a is positive the parabola opens up. If a is negative the parabola opens down. The vertex is (h, k). The axis of symmetry is the line x = h. The minimum value is k when the parabola opens up. The maximum value is k when the parabola opens down. The range is y > k when the parabola opens up. The range is y < k when the parabola opens down.

Find the axis of symmetry, minimum or maximum value, and range of each parabola.

Axis is x = -6, minimum value is -7, range is y > -7. Axis is x = -2, maximum value is -6, range is y < -6. Axis is x = 8, maximum value is 1, range is y < 1.