2. Use the square root method to find solutions for the equation.
(3x + 1)2 – 7 = 0
3. Solve the equation by completing the square.
2x2 – x – 6 = 0
6. Solve the equation by using the quadratic formula.
6x2 – 9x +1 = 0
7. Find the value of the discriminant and give the number of real solutions.
8x2 + 2x + 7 = 0
8. Find the value of the discriminant and give the number of real solutions.
3x2 + 4x – 2 = 0
A) 0, one
B) –8, none
C) 28, two
D) 40, two
12. True or False: The graph of every equation of the form y = ax2 + b, where a and b are real numbers and a is not zero, is a parabola with the y-axis as the axis of symmetry.
13. Find the equation of the axis of symmetry for the parabola given by y = –x2 + 6x – 17.
A) y = 8
B) x = –3
C) x = 3
D) x = 0
14. True or False: The graph of every equation of the form y = ax2 + b, where a and b are real numbers and a is not zero, is a parabola with a vertex (0, b).
15. Give the coordinates of the vertex for the parabola given by y = x2 – 2x + 6.
A) (1, 5)
B) (–1, 9)
C) (1, 10)
D) (2, –1)