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Module 2                                                                                                                             28

Quadratic Equations and Functions

1.  For f(x) = –(x + 3)2 + 4, answer the following questions.

   a.  Find the values of the x-intercepts.

   b.  State the coordinates of the y-intercept.

   c.  State the vertex.

   d.  State the axis of symmetry.

   e.  State the direction of the parabola.

   f.  Decide whether there is a relative maximum or minimum, then state it.

   g.  Graph the function accurately using the above information.

2.  For g(x) = 3x2 – 12x + 6, answer the following questions.

   a.  Find the values of the x-intercepts.

   b.  State the coordinates of the y-intercept.

   c.  Write the function in standard form by completing the square.

   d.  State the vertex.

   e.  State the axis of symmetry.

   f.  State the direction of the parabola.

   g.  Decide whether there is a relative maximum or minimum, then state it.

   h.  Graph the function accurately using the above information.

   i.  State the domain.

   j.  State the range.

   k.  State the interval of x where the graph is increasing.

   l.  State the interval of x where the graph is decreasing.

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