3 814 PM HW6 Sec31 and 32 Problem 6 Previous Problem Problem

3% 8:14 PM HW6 Sec3.1 and 3.2: Problem 6 Previous Problem Problem List Next Problem (1 point) Find a function whose graph is a parabola with vertex (1,9) and that passes through the point (2,12) Your answer is f Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining Email instructor Page generated at 02/10/2017 at 08:14pm EST WeBWork 1996-2016 theme: math4 ww version: develop l pg version developl The WeBWork Project

Solution

Gen equation of parabola : y =a(x -h)^2 + k

vertex : ( h, k) = (1, 9)

So, y = a(x -1)^2 + 9

Now this passesthrough (2, 12)

12 = a(2 -1)^2 + 9

a = 3

S, f(x) = 3( x-1)^2 + 9