1. Here are equations that define quadratic functions , and . Sketch a graph, by hand or using technology, that represents each equation.

   

   

   

2. Determine how many solutions each of  , and has. Explain how you know.

Mai is solving the equation . She writes that the solutions are and . Han looks at her work and disagrees. He says that only is a solution. Who do you agree with? Explain your reasoning.

If the equation   is true, which is also true according to the zero product property?

1. Solve the equation  .
2. Show that your solution or solutions are correct.

To solve the quadratic equation , Andre and Clare wrote the following:

1. Identify the mistake each student made.
2. Solve the equation, and show your reasoning.

Decide if each equation has 0, 1, or 2 solutions, and explain how you know.