Find a quadratic equation whose graph has each of the following characteristics: 7-165 HW eTool .

1. No $x−$intercepts and a negative $y-$intercept.

   Hint (a):

   Write the equation of an inverted parabola with a vertex below the $x-$axis.

2. One x−intercept and a positive $y-$intercept.

   Hint (b):

   This parabola will sit on the $x-$axis.

3. Two x-intercepts and a negative y-intercept.

   Hint (c):

   Shift the graph of $y = x²$ down.

   Use the eTool below to explore the problem.
   Click the link at right for the full version of the eTool: CCA2 7-165 HW eTool