1. The problem statement, all variables and given/known data (There is a comparison question I have, so i'll post my question with these) 8) Each of the following polonomials has x-intercepts of -6, 5 , and 0. Determien the appropriate equation for each. Then, sketch a graph of the function. b) A quartic function that extends from q3 to q4. So, I understand the graph , and wrote it to be ... -x(x+6) (x-5) Since its a quartic function it has a exponent of 4, which is positive so a<0 means it goes q3 to q4 However, in the answer booklet it says -x^2 (x+6) (x-5) . How do i know when its going to be x^2? Is it because its an even function and it is symmetrical at the orgin with a y int of 0 , that it will be x^2? Or something else? Tl:dr , why is that -x^2 instead of -x , what do i look for inorder to determine the diference? Let me provide an example from the text. http://i56.tinypic.com/wml21g.jpg So number 7.b would be the graphical representation, i assume its x2 because its on the vertex, but how is this determined? from the text.. and from the graph? 2. Relevant equations 3. The attempt at a solution My attempt at the solution was.. -x (x+6) (x-5) The answer is -x^2 (x+6) (x-5) Thank you for your help!!