-Please answer all questions for Part 1 and 2. Show your work for every question. These questions are about functions, quadratic functions, inverse and simplifying rational expressions.

Part 1:

1. Does T - 2 simplify to -? Explain why or why not. T - 6 2. Does 10r simplify to =? Explain why or why not. 3. In your own words explain the difference between the first two expressions and describe why one simplifies and one does not. 4. Your friend found that two rational expressions each simplified to 5 Are the two rational expressions equivalent? Explain. T +3 5. A student simplifies the expression T+3 T - 3 and gets What 4 6 12 did the student probably do incorrectly to get this answer?1. Describe the steps required to determine the equation of a quadratic function given its zeros and a point. 2. Your friend wants to write the equation of a quadratic function that has zeros at % and 3. They want to use the binomials [31- + l) and {31' 5). You insist that they must use the binomials (:r + g) and (I 3). Who is correct? Explain. 3. Is it possible to determine the equation of a quadratic function given the vertex and one other point on the parabola? Explain why or why not. 4. What common characteristics will two parabolas in the family fir) = ctr 4H1" 8) have