Algebra 2 – Chapter 6 Review (Find ‘exact’ solutions)

the equation of the axis of symmetry the x-coordinate of the vertex Using the function find: y-intercept the equation of the axis of symmetry the x-coordinate of the vertex tell if the parabola opens up or down give the maximum or minimum value find the vertex rough sketch the parabola tell how many solutions there are 1 x = 1 d. down max: 6 (1, 6) 2 solutions

Solve the following equations by factoring: 1. 3x2 = 75x 1. { 0 , 25 } 2. x2 – 4x = 21 2. { – 3 , 7 } Write an equation in standard form that has the following roots: – 5 , ¼ 4x2 + 19x – 5 = 0

{ } Use the square root property to solve: x2 + 4x + 4 = 25 { – 7 , 3 } Solve by completing the square: x2 – 7x + 5 = 0 { }

Find the discriminant and describe the solutions: x2 – 6x + 13 = 0 – 16 , 2 complex Solve using the quadratic equation: x2 + 4x + 29 = 0 { –2 + 5i, –2 – 5i }