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2-56.

Use the point  to help you write a possible equation for each graph shown below.

  1. Upward parabola, vertex at (2, comma 3), passing through the points, (0, comma 7) & (4, comma 7).

    Remember that .

    Notice that the vertex is .

  1. Increasing curve, rises rapidly, passing through the point (0, comma negative 4), flattens as it passes through the point (2, comma 3), then rises rapidly again.

    The equation for a cubic graph is .

  1. Downward parabola, vertex at (negative 6, comma 0), passing through the point (negative 7, comma negative 2).

    Notice that the parabola opens downs and is steeper.