Jessica is asked to write a quadratic equation to represent a function that goes through the point (8, –11) and has a vertex at (6, –3). Her work is shown below.
–11 = a(8 – 6)2 – 3
–11 = a(2)2 – 3
–11 = 4a – 3
–8 = 4a
a = –2
After Jessica gets stuck, she asks Sally to help her finish the problem. Sally states that Jessica needs to write the quadratic equation using the value she found for a, –2, and the point (8, –11).
Evaluate Jessica’s work and Sally’s review to determine which statement is true.