Exercise Set 2.2: Graphing Parabolas by Completing the Square (a) Complete the square on the following and then describe the transformations from y = x2. (b) Solve for the x-intercepts (if they exist), the y-intercept, and vertex of the parabola. (c) Determine whether the vertex a maximum or a minimum? 1. y = x2 + 8x + 12 2. y = x2 – 6x – 40 3. y = x(x – 10) + 18 4. y = x2 + 14x + 60 5. y = x(x + 12) + 28 6. y = x2 + 5x – 5 7. y = x2 – 7x + 2 8. y = 3x2 – 12x – 5 9. y = 2x2 + 12x + 3 10. y = −4x2 + 8x + 6 11. y = –5x2 – 40x – 78 12. y = 3x2 – 5x + 2 13. y = 8x2 – 6x – 5
