SHOW YOUR WORK! NO WORK SHOWN WILL RECEIVE A 0.5 CREDIT! 1. Given the following three points: (1,3), (-1,-5), and (4,-15), solve for: a) Use matrices to generate an equation for a parabola that goes through those three points. ( 1, 3 ) , ( -1 , -5), (4,-15 ) 9 = Qx 2 + b x + C 1X 4 - 19 5 3 3 91 ( 1 ) 2 + Equation: - 15 = 9 ( 4 ) 2 + 6 b) Solve for the vertex of f(x) 3 = atb+c 5 = 9 - b+ - 15 = 16 + 4b Vertex: c) axis of symmetry axis of symmetry: d) Determine if it has a maximum or a minimum and its value Circle one MAXIMUM or MINIMUM and its value: e) y-axis intercept y-axis intercept: f) domain: g) range: h ) write f ( x ) in vertex form : i) plot f(x) on the given graph on the right