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. 1. Jessica did not solve for the correct value of a, but Sally’s review is correct. 2. Jessica did not solve for the correct value of a, and Sally’s review is incorrect. 3. Jessica solved for the correct value of a, but Sally’s review was incorrect. 4. Both Jessica’s work and Sally’s review are correct. The equation is f(x) = –2(x – 8)2 – 11.
Jessica’s work is correct and Sally’s review is incorrect
Step-by-step explanation:
I'm just assume it's a vertical parabola we know that The equation of a vertical parabola in vertex for is equal to where (h,k) is the vertex In this problem we have point substitute To find the equation using the value of a and the vertex point so therefore
Jessica’s work is correct and Sally’s review is incorrect
