Analyze Graphs of Quadratic Equations
Compare the graph with the graph of y = x2:
y = -4x2
What is the graph is a vertical stretch (by a factor of 4) with a reflection in the x-axis of the graph of y = x2
Solve the equation by factoring: x2 + 2x = -1
What is -1
Solve by completing the square: x2 - 14x = 51
What is -3, 17
Use the quadratic formula to solve the equation:
2m2 + 7m - 3 = 0
What is -3.89, 0.39
Tell whether the equation has two solutions, one solution, or no solution: (1/8)v2 - 6 = 0
What is two solutions
Compare the graph with the graph of y = x2:
y = (1/3)x2
What is the graph is a vertical shrink (by a factor of 1/3) of the graph of y = x2
Solve the equation by factoring: -x2 + 8 = 7x
What is -8, 1
Solve by completing the square: 3x2 + 12x = 18
What is 1.16, -5.16
Use the quadratic formula to solve the equation:
-w2 + 5w = 3
What is 0.70, 4.30
Tell whether the equation has two solutions, one solution, or no solution: 4g2 + 12g + 9 = 0
What is one solution
Compare the graph with the graph of y = x2:
y = 2x2 - 1
What is the graph is a vertical stretch (by a factor of 2) with a vertical translation (of 1 unit down) of the graph of y = x2
Solve the equation using square roots: 3x2 + 7 = 4
What is no solution
Solve by completing the square: 2a2 + 12a - 4 = 0
What is 0.32, -6.32
Use the quadratic formula to solve the equation:
5n2 - 7n = -1
What is 0.16, 1.24
Tell whether the equation has two solutions, one solution, or no solution: 2q2 + 1 = 3q - 5
What is no solution
Identify the axis of symmetry and vertex:
y = x2 + 4x + 1
What is x = -2 and (-2, -3)
Solve the equation using square roots: g2 + 11 = 24
What is -3.61, 3.61
Solve by completing the square:
2n2 + 4n + 1 = 10n + 9
What is -1, 4
Use the quadratic formula to solve the equation:
t2 - 4 = 6t + 8
What is -1.58, 7.58
Tell whether the points represent a linear function, an exponential function, or a quadratic function: (1, 1), (2, 2), (3, 4), (4, 8), (5, 16), (6, 32)
What is an exponential function
Identify the axis of symmetry and vertex:
y = -2x2 + 8x + 5
What is x = 2 and (2, 13)
Solve the equation using square roots:
2(a + 7)2 = 34
What is -11.12, -2.88
Solve by completing the square:
5g2 - 3g + 6 = 2g2 + 9
What is -0.62, 1.62
Use the quadratic formula to solve the equation:
2h - 1 = 10 - 9h2
What is -1.22, 1
Tell whether the points represent a linear function, an exponential function, or a quadratic function:
(-1, 4), (0, 5), (1, 4), (2, 1)
What is a quadratic function